[{"citation":{"bibtex":"@article{Blömer_2002, title={Denesting by Bounded Degree Radicals}, volume={28}, DOI={<a href=\"https://doi.org/10.1007/s004530010028\">10.1007/s004530010028</a>}, number={1}, journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Blömer, J.}, year={2002}, pages={2–15} }","ama":"Blömer J. Denesting by Bounded Degree Radicals. <i>Algorithmica</i>. 2002;28(1):2-15. doi:<a href=\"https://doi.org/10.1007/s004530010028\">10.1007/s004530010028</a>","mla":"Blömer, J. “Denesting by Bounded Degree Radicals.” <i>Algorithmica</i>, vol. 28, no. 1, Springer Science and Business Media LLC, 2002, pp. 2–15, doi:<a href=\"https://doi.org/10.1007/s004530010028\">10.1007/s004530010028</a>.","short":"J. Blömer, Algorithmica 28 (2002) 2–15.","chicago":"Blömer, J. “Denesting by Bounded Degree Radicals.” <i>Algorithmica</i> 28, no. 1 (2002): 2–15. <a href=\"https://doi.org/10.1007/s004530010028\">https://doi.org/10.1007/s004530010028</a>.","ieee":"J. Blömer, “Denesting by Bounded Degree Radicals,” <i>Algorithmica</i>, vol. 28, no. 1, pp. 2–15, 2002, doi: <a href=\"https://doi.org/10.1007/s004530010028\">10.1007/s004530010028</a>.","apa":"Blömer, J. (2002). Denesting by Bounded Degree Radicals. <i>Algorithmica</i>, <i>28</i>(1), 2–15. <a href=\"https://doi.org/10.1007/s004530010028\">https://doi.org/10.1007/s004530010028</a>"},"status":"public","user_id":"23","volume":28,"page":"2-15","_id":"35857","publisher":"Springer Science and Business Media LLC","publication":"Algorithmica","issue":"1","type":"journal_article","keyword":["Applied Mathematics","Computer Science Applications","General Computer Science"],"department":[{"_id":"64"}],"date_created":"2023-01-10T13:44:28Z","date_updated":"2023-01-10T13:48:53Z","publication_status":"published","intvolume":"        28","year":"2002","title":"Denesting by Bounded Degree Radicals","author":[{"first_name":"J.","last_name":"Blömer","full_name":"Blömer, J."}],"publication_identifier":{"issn":["0178-4617","1432-0541"]},"doi":"10.1007/s004530010028","language":[{"iso":"eng"}]},{"citation":{"apa":"Rösler, M., &#38; de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel. <i>Journal of Approximation Theory</i>, <i>119</i>(1), 110–126. <a href=\"https://doi.org/10.1006/jath.2002.3722\">https://doi.org/10.1006/jath.2002.3722</a>","ieee":"M. Rösler and M. de Jeu, “Asymptotic Analysis for the Dunkl Kernel,” <i>Journal of Approximation Theory</i>, vol. 119, no. 1, pp. 110–126, 2002, doi: <a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>.","chicago":"Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.” <i>Journal of Approximation Theory</i> 119, no. 1 (2002): 110–26. <a href=\"https://doi.org/10.1006/jath.2002.3722\">https://doi.org/10.1006/jath.2002.3722</a>.","short":"M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.","mla":"Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.” <i>Journal of Approximation Theory</i>, vol. 119, no. 1, Elsevier BV, 2002, pp. 110–26, doi:<a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>.","ama":"Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. <i>Journal of Approximation Theory</i>. 2002;119(1):110-126. doi:<a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>","bibtex":"@article{Rösler_de Jeu_2002, title={Asymptotic Analysis for the Dunkl Kernel}, volume={119}, DOI={<a href=\"https://doi.org/10.1006/jath.2002.3722\">10.1006/jath.2002.3722</a>}, number={1}, journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler, Margit and de Jeu, Marcel}, year={2002}, pages={110–126} }"},"status":"public","user_id":"93826","volume":119,"page":"110-126","_id":"39959","publisher":"Elsevier BV","extern":"1","publication":"Journal of Approximation Theory","issue":"1","type":"journal_article","keyword":["Applied Mathematics","General Mathematics","Numerical Analysis","Analysis"],"department":[{"_id":"555"}],"date_created":"2023-01-25T10:20:13Z","date_updated":"2023-01-26T17:44:02Z","publication_status":"published","intvolume":"       119","year":"2002","title":"Asymptotic Analysis for the Dunkl Kernel","author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"},{"full_name":"de Jeu, Marcel","last_name":"de Jeu","first_name":"Marcel"}],"publication_identifier":{"issn":["0021-9045"]},"doi":"10.1006/jath.2002.3722","language":[{"iso":"eng"}]},{"date_created":"2023-05-31T12:14:42Z","department":[{"_id":"9"},{"_id":"154"}],"keyword":["Applied Mathematics","Computational Theory and Mathematics","General Engineering","Modeling and Simulation","Software"],"type":"journal_article","publication":"Communications in Numerical Methods in Engineering","issue":"10","language":[{"iso":"eng"}],"doi":"10.1002/(sici)1099-0887(199910)15:10<745::aid-cnm288>3.0.co;2-r","publication_identifier":{"issn":["1069-8299","1099-0887"]},"author":[{"id":"335","last_name":"Mahnken","first_name":"Rolf","full_name":"Mahnken, Rolf"}],"title":"Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity","year":"2002","intvolume":"        15","date_updated":"2023-05-31T12:15:12Z","publication_status":"published","citation":{"mla":"Mahnken, Rolf. “Improved Implementation of an Algorithm for Non-Linear Isotropic/Kinematic Hardening in Elastoplasticity.” <i>Communications in Numerical Methods in Engineering</i>, vol. 15, no. 10, Wiley, 2002, pp. 745–54, doi:<a href=\"https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r\">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.","bibtex":"@article{Mahnken_2002, title={Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity}, volume={15}, DOI={<a href=\"https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r\">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>}, number={10}, journal={Communications in Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf}, year={2002}, pages={745–754} }","ama":"Mahnken R. Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity. <i>Communications in Numerical Methods in Engineering</i>. 2002;15(10):745-754. doi:<a href=\"https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r\">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>","ieee":"R. Mahnken, “Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity,” <i>Communications in Numerical Methods in Engineering</i>, vol. 15, no. 10, pp. 745–754, 2002, doi: <a href=\"https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r\">10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.","apa":"Mahnken, R. (2002). Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity. <i>Communications in Numerical Methods in Engineering</i>, <i>15</i>(10), 745–754. <a href=\"https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r\">https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>","chicago":"Mahnken, Rolf. “Improved Implementation of an Algorithm for Non-Linear Isotropic/Kinematic Hardening in Elastoplasticity.” <i>Communications in Numerical Methods in Engineering</i> 15, no. 10 (2002): 745–54. <a href=\"https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r\">https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r</a>.","short":"R. Mahnken, Communications in Numerical Methods in Engineering 15 (2002) 745–754."},"quality_controlled":"1","publisher":"Wiley","_id":"45423","page":"745-754","volume":15,"user_id":"335","status":"public"},{"page":"456-467","_id":"45417","publisher":"Springer Science and Business Media LLC","user_id":"335","volume":25,"status":"public","citation":{"mla":"Döbert, C., et al. “Numerical Simulation of Interface Debonding with a Combined Damage/Friction Constitutive Model.” <i>Computational Mechanics</i>, vol. 25, no. 5, Springer Science and Business Media LLC, 2002, pp. 456–67, doi:<a href=\"https://doi.org/10.1007/s004660050493\">10.1007/s004660050493</a>.","bibtex":"@article{Döbert_Mahnken_Stein_2002, title={Numerical simulation of interface debonding with a combined damage/friction constitutive model}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s004660050493\">10.1007/s004660050493</a>}, number={5}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Döbert, C. and Mahnken, Rolf and Stein, E.}, year={2002}, pages={456–467} }","ama":"Döbert C, Mahnken R, Stein E. Numerical simulation of interface debonding with a combined damage/friction constitutive model. <i>Computational Mechanics</i>. 2002;25(5):456-467. doi:<a href=\"https://doi.org/10.1007/s004660050493\">10.1007/s004660050493</a>","ieee":"C. Döbert, R. Mahnken, and E. Stein, “Numerical simulation of interface debonding with a combined damage/friction constitutive model,” <i>Computational Mechanics</i>, vol. 25, no. 5, pp. 456–467, 2002, doi: <a href=\"https://doi.org/10.1007/s004660050493\">10.1007/s004660050493</a>.","apa":"Döbert, C., Mahnken, R., &#38; Stein, E. (2002). Numerical simulation of interface debonding with a combined damage/friction constitutive model. <i>Computational Mechanics</i>, <i>25</i>(5), 456–467. <a href=\"https://doi.org/10.1007/s004660050493\">https://doi.org/10.1007/s004660050493</a>","short":"C. Döbert, R. Mahnken, E. Stein, Computational Mechanics 25 (2002) 456–467.","chicago":"Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface Debonding with a Combined Damage/Friction Constitutive Model.” <i>Computational Mechanics</i> 25, no. 5 (2002): 456–67. <a href=\"https://doi.org/10.1007/s004660050493\">https://doi.org/10.1007/s004660050493</a>."},"quality_controlled":"1","language":[{"iso":"eng"}],"doi":"10.1007/s004660050493","year":"2002","title":"Numerical simulation of interface debonding with a combined damage/friction constitutive model","publication_identifier":{"issn":["0178-7675","1432-0924"]},"author":[{"full_name":"Döbert, C.","last_name":"Döbert","first_name":"C."},{"full_name":"Mahnken, Rolf","first_name":"Rolf","last_name":"Mahnken","id":"335"},{"first_name":"E.","last_name":"Stein","full_name":"Stein, E."}],"date_updated":"2023-05-31T12:04:35Z","publication_status":"published","intvolume":"        25","date_created":"2023-05-31T12:04:03Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"department":[{"_id":"9"},{"_id":"154"}],"issue":"5","publication":"Computational Mechanics"},{"quality_controlled":"1","citation":{"short":"R. Mahnken, M. Johansson, K. Runesson, Engineering Computations 15 (2002) 925–955.","chicago":"Mahnken, Rolf, Magnus Johansson, and Kenneth Runesson. “Parameter Estimation for a Viscoplastic Damage Model Using a Gradient‐based Optimization Algorithm.” <i>Engineering Computations</i> 15, no. 7 (2002): 925–55. <a href=\"https://doi.org/10.1108/02644409810236920\">https://doi.org/10.1108/02644409810236920</a>.","ieee":"R. Mahnken, M. Johansson, and K. Runesson, “Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm,” <i>Engineering Computations</i>, vol. 15, no. 7, pp. 925–955, 2002, doi: <a href=\"https://doi.org/10.1108/02644409810236920\">10.1108/02644409810236920</a>.","apa":"Mahnken, R., Johansson, M., &#38; Runesson, K. (2002). Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm. <i>Engineering Computations</i>, <i>15</i>(7), 925–955. <a href=\"https://doi.org/10.1108/02644409810236920\">https://doi.org/10.1108/02644409810236920</a>","bibtex":"@article{Mahnken_Johansson_Runesson_2002, title={Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm}, volume={15}, DOI={<a href=\"https://doi.org/10.1108/02644409810236920\">10.1108/02644409810236920</a>}, number={7}, journal={Engineering Computations}, publisher={Emerald}, author={Mahnken, Rolf and Johansson, Magnus and Runesson, Kenneth}, year={2002}, pages={925–955} }","ama":"Mahnken R, Johansson M, Runesson K. Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm. <i>Engineering Computations</i>. 2002;15(7):925-955. doi:<a href=\"https://doi.org/10.1108/02644409810236920\">10.1108/02644409810236920</a>","mla":"Mahnken, Rolf, et al. “Parameter Estimation for a Viscoplastic Damage Model Using a Gradient‐based Optimization Algorithm.” <i>Engineering Computations</i>, vol. 15, no. 7, Emerald, 2002, pp. 925–55, doi:<a href=\"https://doi.org/10.1108/02644409810236920\">10.1108/02644409810236920</a>."},"status":"public","user_id":"335","volume":15,"page":"925-955","publisher":"Emerald","_id":"45427","abstract":[{"lang":"eng","text":"<jats:p>In this work a gradient‐based optimization method is applied in order to determine material parameters for a viscoplastic model with dynamic yield surface coupled to damage as presented in 1997. To this end a sensitivity analysis consistent with the integration scheme presented previously is performed in a systematic manner, both for strain and stress controlled experiments. The algorithm is tested in two numerical examples: first, simulated data are used, in order to re‐obtain parameters for the case of damage under monotonic loading. In the second example material parameters are obtained based on experimental data for lcf‐testing of an austenetic stainless steel, thus showing a very good agreement with respect to hardening, rate and damage effects.</jats:p>"}],"issue":"7","publication":"Engineering Computations","type":"journal_article","keyword":["Computational Theory and Mathematics","Computer Science Applications","General Engineering","Software"],"department":[{"_id":"9"},{"_id":"154"}],"date_created":"2023-05-31T12:20:54Z","publication_status":"published","date_updated":"2023-05-31T12:21:15Z","intvolume":"        15","title":"Parameter estimation for a viscoplastic damage model using a gradient‐based optimization algorithm","year":"2002","publication_identifier":{"issn":["0264-4401"]},"author":[{"last_name":"Mahnken","first_name":"Rolf","full_name":"Mahnken, Rolf","id":"335"},{"full_name":"Johansson, Magnus","first_name":"Magnus","last_name":"Johansson"},{"full_name":"Runesson, Kenneth","first_name":"Kenneth","last_name":"Runesson"}],"doi":"10.1108/02644409810236920","language":[{"iso":"eng"}]},{"quality_controlled":"1","citation":{"bibtex":"@article{Johansson_Mahnken_Runesson_2002, title={Efficient integration technique for generalized viscoplasticity coupled to damage}, volume={44}, DOI={<a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>}, number={11}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Johansson, Magnus and Mahnken, Rolf and Runesson, Kenneth}, year={2002}, pages={1727–1747} }","ama":"Johansson M, Mahnken R, Runesson K. Efficient integration technique for generalized viscoplasticity coupled to damage. <i>International Journal for Numerical Methods in Engineering</i>. 2002;44(11):1727-1747. doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>","mla":"Johansson, Magnus, et al. “Efficient Integration Technique for Generalized Viscoplasticity Coupled to Damage.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 44, no. 11, Wiley, 2002, pp. 1727–47, doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.","chicago":"Johansson, Magnus, Rolf Mahnken, and Kenneth Runesson. “Efficient Integration Technique for Generalized Viscoplasticity Coupled to Damage.” <i>International Journal for Numerical Methods in Engineering</i> 44, no. 11 (2002): 1727–47. <a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.","short":"M. Johansson, R. Mahnken, K. Runesson, International Journal for Numerical Methods in Engineering 44 (2002) 1727–1747.","ieee":"M. Johansson, R. Mahnken, and K. Runesson, “Efficient integration technique for generalized viscoplasticity coupled to damage,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 44, no. 11, pp. 1727–1747, 2002, doi: <a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>.","apa":"Johansson, M., Mahnken, R., &#38; Runesson, K. (2002). Efficient integration technique for generalized viscoplasticity coupled to damage. <i>International Journal for Numerical Methods in Engineering</i>, <i>44</i>(11), 1727–1747. <a href=\"https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p\">https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p</a>"},"status":"public","user_id":"335","volume":44,"page":"1727-1747","_id":"45425","publisher":"Wiley","publication":"International Journal for Numerical Methods in Engineering","issue":"11","type":"journal_article","keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"department":[{"_id":"9"},{"_id":"154"}],"date_created":"2023-05-31T12:17:46Z","publication_status":"published","date_updated":"2023-05-31T12:18:12Z","intvolume":"        44","title":"Efficient integration technique for generalized viscoplasticity coupled to damage","year":"2002","author":[{"last_name":"Johansson","first_name":"Magnus","full_name":"Johansson, Magnus"},{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"},{"full_name":"Runesson, Kenneth","first_name":"Kenneth","last_name":"Runesson"}],"publication_identifier":{"issn":["0029-5981","1097-0207"]},"doi":"10.1002/(sici)1097-0207(19990420)44:11<1727::aid-nme568>3.0.co;2-p","language":[{"iso":"eng"}]},{"volume":9,"user_id":"44006","_id":"11778","page":"299-302","status":"public","oa":"1","citation":{"ieee":"R. Haeb-Umbach, “Automatic generation of phonetic regression class trees for MLLR adaptation,” <i>IEEE Transactions on Speech and Audio Processing</i>, vol. 9, no. 3, pp. 299–302, 2001.","apa":"Haeb-Umbach, R. (2001). Automatic generation of phonetic regression class trees for MLLR adaptation. <i>IEEE Transactions on Speech and Audio Processing</i>, <i>9</i>(3), 299–302. <a href=\"https://doi.org/10.1109/89.906003\">https://doi.org/10.1109/89.906003</a>","short":"R. Haeb-Umbach, IEEE Transactions on Speech and Audio Processing 9 (2001) 299–302.","chicago":"Haeb-Umbach, Reinhold. “Automatic Generation of Phonetic Regression Class Trees for MLLR Adaptation.” <i>IEEE Transactions on Speech and Audio Processing</i> 9, no. 3 (2001): 299–302. <a href=\"https://doi.org/10.1109/89.906003\">https://doi.org/10.1109/89.906003</a>.","mla":"Haeb-Umbach, Reinhold. “Automatic Generation of Phonetic Regression Class Trees for MLLR Adaptation.” <i>IEEE Transactions on Speech and Audio Processing</i>, vol. 9, no. 3, 2001, pp. 299–302, doi:<a href=\"https://doi.org/10.1109/89.906003\">10.1109/89.906003</a>.","bibtex":"@article{Haeb-Umbach_2001, title={Automatic generation of phonetic regression class trees for MLLR adaptation}, volume={9}, DOI={<a href=\"https://doi.org/10.1109/89.906003\">10.1109/89.906003</a>}, number={3}, journal={IEEE Transactions on Speech and Audio Processing}, author={Haeb-Umbach, Reinhold}, year={2001}, pages={299–302} }","ama":"Haeb-Umbach R. Automatic generation of phonetic regression class trees for MLLR adaptation. <i>IEEE Transactions on Speech and Audio Processing</i>. 2001;9(3):299-302. doi:<a href=\"https://doi.org/10.1109/89.906003\">10.1109/89.906003</a>"},"doi":"10.1109/89.906003","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://groups.uni-paderborn.de/nt/pubs/2001/Ha01.pdf","open_access":"1"}],"intvolume":"         9","date_updated":"2022-01-06T06:51:08Z","author":[{"id":"242","first_name":"Reinhold","last_name":"Haeb-Umbach","full_name":"Haeb-Umbach, Reinhold"}],"year":"2001","title":"Automatic generation of phonetic regression class trees for MLLR adaptation","department":[{"_id":"54"}],"keyword":["acoustic space","adaptation experiments","automatic generation","bottom-up clustering","broad phonetic class regression trees","correlation criterion","correlation methods","maximum likelihood estimation","maximum likelihood linear regression based speaker adaptation","MLLR adaptation","pattern clustering","phonetic regression class trees","speaker-independent training data","speech recognition","speech units","statistical analysis","trees (mathematics)"],"type":"journal_article","date_created":"2019-07-12T05:28:04Z","abstract":[{"lang":"eng","text":"In this paper, it is shown that a correlation criterion is the appropriate criterion for bottom-up clustering to obtain broad phonetic class regression trees for maximum likelihood linear regression (MLLR)-based speaker adaptation. The correlation structure among speech units is estimated on the speaker-independent training data. In adaptation experiments the tree outperformed a regression tree obtained from clustering according to closeness in acoustic space and achieved results comparable with those of a manually designed broad phonetic class tree"}],"publication":"IEEE Transactions on Speech and Audio Processing","issue":"3"},{"abstract":[{"text":"This paper announces the creation of a database for number fields. It describes the contents and the methods of access, indicates the origin of the polynomials, and formulates the aims of this collection of fields.","lang":"eng"}],"publication":"LMS Journal of Computation and Mathematics","type":"journal_article","keyword":["Computational Theory and Mathematics","General Mathematics"],"department":[{"_id":"102"}],"date_created":"2022-12-23T09:56:22Z","date_updated":"2023-03-02T09:53:08Z","publication_status":"published","intvolume":"         4","year":"2001","title":"A Database for Field Extensions of the Rationals","publication_identifier":{"issn":["1461-1570"]},"author":[{"id":"21202","last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen"},{"first_name":"Gunter","last_name":"Malle","full_name":"Malle, Gunter"}],"doi":"10.1112/s1461157000000851","language":[{"iso":"eng"}],"citation":{"bibtex":"@article{Klüners_Malle_2001, title={A Database for Field Extensions of the Rationals}, volume={4}, DOI={<a href=\"https://doi.org/10.1112/s1461157000000851\">10.1112/s1461157000000851</a>}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Klüners, Jürgen and Malle, Gunter}, year={2001}, pages={182–196} }","ama":"Klüners J, Malle G. A Database for Field Extensions of the Rationals. <i>LMS Journal of Computation and Mathematics</i>. 2001;4:182-196. doi:<a href=\"https://doi.org/10.1112/s1461157000000851\">10.1112/s1461157000000851</a>","mla":"Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the Rationals.” <i>LMS Journal of Computation and Mathematics</i>, vol. 4, Wiley, 2001, pp. 182–96, doi:<a href=\"https://doi.org/10.1112/s1461157000000851\">10.1112/s1461157000000851</a>.","chicago":"Klüners, Jürgen, and Gunter Malle. “A Database for Field Extensions of the Rationals.” <i>LMS Journal of Computation and Mathematics</i> 4 (2001): 182–96. <a href=\"https://doi.org/10.1112/s1461157000000851\">https://doi.org/10.1112/s1461157000000851</a>.","short":"J. Klüners, G. Malle, LMS Journal of Computation and Mathematics 4 (2001) 182–196.","ieee":"J. Klüners and G. Malle, “A Database for Field Extensions of the Rationals,” <i>LMS Journal of Computation and Mathematics</i>, vol. 4, pp. 182–196, 2001, doi: <a href=\"https://doi.org/10.1112/s1461157000000851\">10.1112/s1461157000000851</a>.","apa":"Klüners, J., &#38; Malle, G. (2001). A Database for Field Extensions of the Rationals. <i>LMS Journal of Computation and Mathematics</i>, <i>4</i>, 182–196. <a href=\"https://doi.org/10.1112/s1461157000000851\">https://doi.org/10.1112/s1461157000000851</a>"},"external_id":{"arxiv":["math/0102232"]},"status":"public","user_id":"93826","volume":4,"page":"182-196","_id":"34897","publisher":"Wiley"},{"status":"public","user_id":"93826","volume":30,"page":"653-674","_id":"34900","publisher":"Elsevier BV","citation":{"mla":"Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 653–74, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>.","ama":"Geissler K, Klüners J. Galois Group Computation for Rational Polynomials. <i>Journal of Symbolic Computation</i>. 2000;30(6):653-674. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>","bibtex":"@article{Geissler_Klüners_2000, title={Galois Group Computation for Rational Polynomials}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Geissler, Katharina and Klüners, Jürgen}, year={2000}, pages={653–674} }","apa":"Geissler, K., &#38; Klüners, J. (2000). Galois Group Computation for Rational Polynomials. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 653–674. <a href=\"https://doi.org/10.1006/jsco.2000.0377\">https://doi.org/10.1006/jsco.2000.0377</a>","ieee":"K. Geissler and J. Klüners, “Galois Group Computation for Rational Polynomials,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 653–674, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0377\">10.1006/jsco.2000.0377</a>.","short":"K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.","chicago":"Geissler, Katharina, and Jürgen Klüners. “Galois Group Computation for Rational Polynomials.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000): 653–74. <a href=\"https://doi.org/10.1006/jsco.2000.0377\">https://doi.org/10.1006/jsco.2000.0377</a>."},"publication_status":"published","date_updated":"2023-03-06T09:58:06Z","intvolume":"        30","title":"Galois Group Computation for Rational Polynomials","year":"2000","author":[{"full_name":"Geissler, Katharina","last_name":"Geissler","first_name":"Katharina"},{"id":"21202","first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen"}],"publication_identifier":{"issn":["0747-7171"]},"doi":"10.1006/jsco.2000.0377","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method."}],"issue":"6","publication":"Journal of Symbolic Computation","type":"journal_article","keyword":["Computational Mathematics","Algebra and Number Theory"],"department":[{"_id":"102"}],"date_created":"2022-12-23T09:58:16Z"},{"status":"public","volume":30,"user_id":"93826","_id":"34901","publisher":"Elsevier BV","page":"239-252","citation":{"bibtex":"@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability of Norm Equations}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }","ama":"Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations. <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>","mla":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier BV, 2000, pp. 239–52, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>.","short":"V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.","chicago":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no. 3 (2000): 239–52. <a href=\"https://doi.org/10.1006/jsco.2000.0361\">https://doi.org/10.1006/jsco.2000.0361</a>.","ieee":"V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>.","apa":"Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252. <a href=\"https://doi.org/10.1006/jsco.2000.0361\">https://doi.org/10.1006/jsco.2000.0361</a>"},"intvolume":"        30","date_updated":"2023-03-06T09:57:34Z","publication_status":"published","author":[{"first_name":"Vincenzo","last_name":"Acciaro","full_name":"Acciaro, Vincenzo"},{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"}],"publication_identifier":{"issn":["0747-7171"]},"year":"2000","title":"Computing Local Artin Maps, and Solvability of Norm Equations","doi":"10.1006/jsco.2000.0361","language":[{"iso":"eng"}],"abstract":[{"text":"Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic.","lang":"eng"}],"publication":"Journal of Symbolic Computation","issue":"3","department":[{"_id":"102"}],"type":"journal_article","keyword":["Computational Mathematics","Algebra and Number Theory"],"date_created":"2022-12-23T09:58:48Z"},{"volume":30,"user_id":"93826","publisher":"Elsevier BV","_id":"34899","page":"675-716","status":"public","citation":{"ieee":"J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups of Degree up to 15,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 675–716, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>.","apa":"Klüners, J., &#38; Malle, G. (2000). Explicit Galois Realization of Transitive Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 675–716. <a href=\"https://doi.org/10.1006/jsco.2000.0378\">https://doi.org/10.1006/jsco.2000.0378</a>","chicago":"Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000): 675–716. <a href=\"https://doi.org/10.1006/jsco.2000.0378\">https://doi.org/10.1006/jsco.2000.0378</a>.","short":"J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.","mla":"Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 675–716, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>.","bibtex":"@article{Klüners_Malle_2000, title={Explicit Galois Realization of Transitive Groups of Degree up to 15}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen and Malle, Gunter}, year={2000}, pages={675–716} }","ama":"Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree up to 15. <i>Journal of Symbolic Computation</i>. 2000;30(6):675-716. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0378\">10.1006/jsco.2000.0378</a>"},"doi":"10.1006/jsco.2000.0378","language":[{"iso":"eng"}],"intvolume":"        30","date_updated":"2023-03-06T10:48:05Z","publication_status":"published","author":[{"id":"21202","first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen"},{"first_name":"Gunter","last_name":"Malle","full_name":"Malle, Gunter"}],"publication_identifier":{"issn":["0747-7171"]},"year":"2000","title":"Explicit Galois Realization of Transitive Groups of Degree up to 15","department":[{"_id":"102"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-23T09:57:28Z","abstract":[{"text":"We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each case compute a polynomial f ∈ ℚ [ x ] with Gal(f)  = G.","lang":"eng"}],"publication":"Journal of Symbolic Computation","issue":"6"},{"doi":"10.1006/jsco.2000.0380","language":[{"iso":"eng"}],"intvolume":"        30","publication_status":"published","date_updated":"2023-03-06T10:48:40Z","publication_identifier":{"issn":["0747-7171"]},"author":[{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"}],"year":"2000","title":"A Polynomial with Galois GroupSL2(11)","department":[{"_id":"102"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-23T09:56:52Z","abstract":[{"text":"We compute a polynomial with Galois group SL₂(11) over ℚ. Furthermore we prove that SL₂(11) is the Galois group of a regular extension of ℚ (t).","lang":"eng"}],"publication":"Journal of Symbolic Computation","issue":"6","volume":30,"user_id":"93826","_id":"34898","publisher":"Elsevier BV","page":"733-737","status":"public","citation":{"ama":"Klüners J. A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>. 2000;30(6):733-737. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>","bibtex":"@article{Klüners_2000, title={A Polynomial with Galois GroupSL2(11)}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen}, year={2000}, pages={733–737} }","mla":"Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, Elsevier BV, 2000, pp. 733–37, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>.","short":"J. Klüners, Journal of Symbolic Computation 30 (2000) 733–737.","chicago":"Klüners, Jürgen. “A Polynomial with Galois GroupSL2(11).” <i>Journal of Symbolic Computation</i> 30, no. 6 (2000): 733–37. <a href=\"https://doi.org/10.1006/jsco.2000.0380\">https://doi.org/10.1006/jsco.2000.0380</a>.","apa":"Klüners, J. (2000). A Polynomial with Galois GroupSL2(11). <i>Journal of Symbolic Computation</i>, <i>30</i>(6), 733–737. <a href=\"https://doi.org/10.1006/jsco.2000.0380\">https://doi.org/10.1006/jsco.2000.0380</a>","ieee":"J. Klüners, “A Polynomial with Galois GroupSL2(11),” <i>Journal of Symbolic Computation</i>, vol. 30, no. 6, pp. 733–737, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0380\">10.1006/jsco.2000.0380</a>."}},{"citation":{"ieee":"M. Rösler, “An uncertainty principle for the Dunkl transform,” <i>Bulletin of the Australian Mathematical Society</i>, vol. 59, no. 3, pp. 353–360, 1999, doi: <a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>.","apa":"Rösler, M. (1999). An uncertainty principle for the Dunkl transform. <i>Bulletin of the Australian Mathematical Society</i>, <i>59</i>(3), 353–360. <a href=\"https://doi.org/10.1017/s0004972700033025\">https://doi.org/10.1017/s0004972700033025</a>","chicago":"Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin of the Australian Mathematical Society</i> 59, no. 3 (1999): 353–60. <a href=\"https://doi.org/10.1017/s0004972700033025\">https://doi.org/10.1017/s0004972700033025</a>.","short":"M. Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.","mla":"Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” <i>Bulletin of the Australian Mathematical Society</i>, vol. 59, no. 3, Cambridge University Press (CUP), 1999, pp. 353–60, doi:<a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>.","bibtex":"@article{Rösler_1999, title={An uncertainty principle for the Dunkl transform}, volume={59}, DOI={<a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>}, number={3}, journal={Bulletin of the Australian Mathematical Society}, publisher={Cambridge University Press (CUP)}, author={Rösler, Margit}, year={1999}, pages={353–360} }","ama":"Rösler M. An uncertainty principle for the Dunkl transform. <i>Bulletin of the Australian Mathematical Society</i>. 1999;59(3):353-360. doi:<a href=\"https://doi.org/10.1017/s0004972700033025\">10.1017/s0004972700033025</a>"},"status":"public","page":"353-360","_id":"40184","publisher":"Cambridge University Press (CUP)","user_id":"93826","volume":59,"issue":"3","publication":"Bulletin of the Australian Mathematical Society","abstract":[{"lang":"eng","text":"<jats:p>This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝ<jats:sup><jats:italic>N</jats:italic></jats:sup>. Its proof is based on expansions with respect to generalised Hermite functions.</jats:p>"}],"extern":"1","date_created":"2023-01-26T08:19:30Z","type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"555"}],"title":"An uncertainty principle for the Dunkl transform","year":"1999","author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"}],"publication_identifier":{"issn":["0004-9727","1755-1633"]},"date_updated":"2023-01-26T17:40:13Z","publication_status":"published","intvolume":"        59","language":[{"iso":"eng"}],"doi":"10.1017/s0004972700033025"},{"user_id":"93826","volume":98,"page":"445-463","_id":"40189","publisher":"Duke University Press","status":"public","citation":{"mla":"Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke Mathematical Journal</i>, vol. 98, no. 3, Duke University Press, 1999, pp. 445–63, doi:<a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>.","ama":"Rösler M. Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical Journal</i>. 1999;98(3):445-463. doi:<a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>","bibtex":"@article{Rösler_1999, title={Positivity of Dunkl’s intertwining operator}, volume={98}, DOI={<a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>}, number={3}, journal={Duke Mathematical Journal}, publisher={Duke University Press}, author={Rösler, Margit}, year={1999}, pages={445–463} }","apa":"Rösler, M. (1999). Positivity of Dunkl’s intertwining operator. <i>Duke Mathematical Journal</i>, <i>98</i>(3), 445–463. <a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">https://doi.org/10.1215/s0012-7094-99-09813-7</a>","ieee":"M. Rösler, “Positivity of Dunkl’s intertwining operator,” <i>Duke Mathematical Journal</i>, vol. 98, no. 3, pp. 445–463, 1999, doi: <a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">10.1215/s0012-7094-99-09813-7</a>.","short":"M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.","chicago":"Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” <i>Duke Mathematical Journal</i> 98, no. 3 (1999): 445–63. <a href=\"https://doi.org/10.1215/s0012-7094-99-09813-7\">https://doi.org/10.1215/s0012-7094-99-09813-7</a>."},"doi":"10.1215/s0012-7094-99-09813-7","language":[{"iso":"eng"}],"date_updated":"2023-01-26T17:40:05Z","publication_status":"published","intvolume":"        98","year":"1999","title":"Positivity of Dunkl’s intertwining operator","author":[{"full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit","id":"37390"}],"publication_identifier":{"issn":["0012-7094"]},"keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-26T08:25:43Z","extern":"1","issue":"3","publication":"Duke Mathematical Journal"},{"title":"Partial Characters and Signed Quotient Hypergroups","year":"1999","publication_identifier":{"issn":["0008-414X","1496-4279"]},"author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"date_updated":"2023-01-26T17:51:42Z","publication_status":"published","intvolume":"        51","language":[{"iso":"eng"}],"doi":"10.4153/cjm-1999-006-6","issue":"1","publication":"Canadian Journal of Mathematics","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>If<jats:italic>G</jats:italic>is a closed subgroup of a commutative hypergroup<jats:italic>K</jats:italic>, then the coset space<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>carries a quotient hypergroup structure. In this paper, we study related convolution structures on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>coming fromdeformations of the quotient hypergroup structure by certain functions on<jats:italic>K</jats:italic>which we call partial characters with respect to<jats:italic>G</jats:italic>. They are usually not probability-preserving, but lead to so-called signed hypergroups on<jats:italic>K</jats:italic>/<jats:italic>G</jats:italic>. A first example is provided by the Laguerre convolution on [0, ∞[, which is interpreted as a signed quotient hypergroup convolution derived from the Heisenberg group. Moreover, signed hypergroups associated with the Gelfand pair (<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>, 1),<jats:italic>U</jats:italic>(<jats:italic>n</jats:italic>)) are discussed.</jats:p>","lang":"eng"}],"extern":"1","date_created":"2023-01-26T08:27:14Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"96-116","_id":"40192","publisher":"Canadian Mathematical Society","user_id":"37390","volume":51,"citation":{"ama":"Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. <i>Canadian Journal of Mathematics</i>. 1999;51(1):96-116. doi:<a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>","bibtex":"@article{Rösler_Voit_1999, title={Partial Characters and Signed Quotient Hypergroups}, volume={51}, DOI={<a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>}, number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={96–116} }","mla":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, Canadian Mathematical Society, 1999, pp. 96–116, doi:<a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>.","short":"M. Rösler, M. Voit, Canadian Journal of Mathematics 51 (1999) 96–116.","chicago":"Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” <i>Canadian Journal of Mathematics</i> 51, no. 1 (1999): 96–116. <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">https://doi.org/10.4153/cjm-1999-006-6</a>.","apa":"Rösler, M., &#38; Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups. <i>Canadian Journal of Mathematics</i>, <i>51</i>(1), 96–116. <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">https://doi.org/10.4153/cjm-1999-006-6</a>","ieee":"M. Rösler and M. Voit, “Partial Characters and Signed Quotient Hypergroups,” <i>Canadian Journal of Mathematics</i>, vol. 51, no. 1, pp. 96–116, 1999, doi: <a href=\"https://doi.org/10.4153/cjm-1999-006-6\">10.4153/cjm-1999-006-6</a>."}},{"citation":{"mla":"Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i>, vol. 27, no. 3, Elsevier BV, 1999, pp. 261–69, doi:<a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>.","ama":"Klüners J. On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>. 1999;27(3):261-269. doi:<a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>","bibtex":"@article{Klüners_1999, title={On Polynomial Decompositions}, volume={27}, DOI={<a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen}, year={1999}, pages={261–269} }","apa":"Klüners, J. (1999). On Polynomial Decompositions. <i>Journal of Symbolic Computation</i>, <i>27</i>(3), 261–269. <a href=\"https://doi.org/10.1006/jsco.1998.0252\">https://doi.org/10.1006/jsco.1998.0252</a>","ieee":"J. Klüners, “On Polynomial Decompositions,” <i>Journal of Symbolic Computation</i>, vol. 27, no. 3, pp. 261–269, 1999, doi: <a href=\"https://doi.org/10.1006/jsco.1998.0252\">10.1006/jsco.1998.0252</a>.","short":"J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.","chicago":"Klüners, Jürgen. “On Polynomial Decompositions.” <i>Journal of Symbolic Computation</i> 27, no. 3 (1999): 261–69. <a href=\"https://doi.org/10.1006/jsco.1998.0252\">https://doi.org/10.1006/jsco.1998.0252</a>."},"page":"261-269","publisher":"Elsevier BV","_id":"34902","user_id":"93826","volume":27,"status":"public","date_created":"2022-12-23T10:01:15Z","keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"issue":"3","publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","text":"We present a new polynomial decomposition which generalizes the functional and homogeneous bivariate decomposition of irreducible monic polynomials in one variable over the rationals. With these decompositions it is possible to calculate the roots of an imprimitive polynomial by solving polynomial equations of lower degree."}],"language":[{"iso":"eng"}],"doi":"10.1006/jsco.1998.0252","year":"1999","title":"On Polynomial Decompositions","publication_identifier":{"issn":["0747-7171"]},"author":[{"full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners","id":"21202"}],"publication_status":"published","date_updated":"2023-03-06T09:21:29Z","intvolume":"        27"},{"status":"public","page":"337-351","_id":"40197","publisher":"Elsevier BV","user_id":"93826","volume":99,"citation":{"chicago":"Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational and Applied Mathematics</i> 99, no. 1–2 (1998): 337–51. <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">https://doi.org/10.1016/s0377-0427(98)00168-x</a>.","short":"M. Rösler, M. Voit, Journal of Computational and Applied Mathematics 99 (1998) 337–351.","apa":"Rösler, M., &#38; Voit, M. (1998). Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. <i>Journal of Computational and Applied Mathematics</i>, <i>99</i>(1–2), 337–351. <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">https://doi.org/10.1016/s0377-0427(98)00168-x</a>","ieee":"M. Rösler and M. Voit, “Biorthogonal polynomials associated with reflection groups and a formula of Macdonald,” <i>Journal of Computational and Applied Mathematics</i>, vol. 99, no. 1–2, pp. 337–351, 1998, doi: <a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>.","ama":"Rösler M, Voit M. Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. <i>Journal of Computational and Applied Mathematics</i>. 1998;99(1-2):337-351. doi:<a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>","bibtex":"@article{Rösler_Voit_1998, title={Biorthogonal polynomials associated with reflection groups and a formula of Macdonald}, volume={99}, DOI={<a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>}, number={1–2}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={1998}, pages={337–351} }","mla":"Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” <i>Journal of Computational and Applied Mathematics</i>, vol. 99, no. 1–2, Elsevier BV, 1998, pp. 337–51, doi:<a href=\"https://doi.org/10.1016/s0377-0427(98)00168-x\">10.1016/s0377-0427(98)00168-x</a>."},"year":"1998","title":"Biorthogonal polynomials associated with reflection groups and a formula of Macdonald","publication_identifier":{"issn":["0377-0427"]},"author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"date_updated":"2023-01-26T17:41:01Z","publication_status":"published","intvolume":"        99","language":[{"iso":"eng"}],"doi":"10.1016/s0377-0427(98)00168-x","issue":"1-2","publication":"Journal of Computational and Applied Mathematics","extern":"1","date_created":"2023-01-26T08:31:16Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"department":[{"_id":"555"}]},{"status":"public","user_id":"93826","volume":21,"page":"575-643","publisher":"Elsevier BV","_id":"40200","citation":{"ieee":"M. Rösler and M. Voit, “Markov Processes Related with Dunkl Operators,” <i>Advances in Applied Mathematics</i>, vol. 21, no. 4, pp. 575–643, 1998, doi: <a href=\"https://doi.org/10.1006/aama.1998.0609\">10.1006/aama.1998.0609</a>.","mla":"Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl Operators.” <i>Advances in Applied Mathematics</i>, vol. 21, no. 4, Elsevier BV, 1998, pp. 575–643, doi:<a href=\"https://doi.org/10.1006/aama.1998.0609\">10.1006/aama.1998.0609</a>.","apa":"Rösler, M., &#38; Voit, M. (1998). Markov Processes Related with Dunkl Operators. <i>Advances in Applied Mathematics</i>, <i>21</i>(4), 575–643. <a href=\"https://doi.org/10.1006/aama.1998.0609\">https://doi.org/10.1006/aama.1998.0609</a>","bibtex":"@article{Rösler_Voit_1998, title={Markov Processes Related with Dunkl Operators}, volume={21}, DOI={<a href=\"https://doi.org/10.1006/aama.1998.0609\">10.1006/aama.1998.0609</a>}, number={4}, journal={Advances in Applied Mathematics}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={1998}, pages={575–643} }","chicago":"Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl Operators.” <i>Advances in Applied Mathematics</i> 21, no. 4 (1998): 575–643. <a href=\"https://doi.org/10.1006/aama.1998.0609\">https://doi.org/10.1006/aama.1998.0609</a>.","short":"M. Rösler, M. Voit, Advances in Applied Mathematics 21 (1998) 575–643.","ama":"Rösler M, Voit M. Markov Processes Related with Dunkl Operators. <i>Advances in Applied Mathematics</i>. 1998;21(4):575-643. doi:<a href=\"https://doi.org/10.1006/aama.1998.0609\">10.1006/aama.1998.0609</a>"},"publication_status":"published","date_updated":"2023-01-26T17:40:21Z","intvolume":"        21","title":"Markov Processes Related with Dunkl Operators","year":"1998","publication_identifier":{"issn":["0196-8858"]},"author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"doi":"10.1006/aama.1998.0609","language":[{"iso":"eng"}],"extern":"1","issue":"4","publication":"Advances in Applied Mathematics","keyword":["Applied Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-26T08:33:01Z"},{"status":"public","_id":"40205","publisher":"Elsevier BV","page":"624-634","volume":209,"user_id":"93826","citation":{"mla":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical Expansions.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 209, no. 2, Elsevier BV, 1997, pp. 624–34, doi:<a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>.","bibtex":"@article{Rösler_Voit_1997, title={An Uncertainty Principle for Ultraspherical Expansions}, volume={209}, DOI={<a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>}, number={2}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={1997}, pages={624–634} }","ama":"Rösler M, Voit M. An Uncertainty Principle for Ultraspherical Expansions. <i>Journal of Mathematical Analysis and Applications</i>. 1997;209(2):624-634. doi:<a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>","ieee":"M. Rösler and M. Voit, “An Uncertainty Principle for Ultraspherical Expansions,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 209, no. 2, pp. 624–634, 1997, doi: <a href=\"https://doi.org/10.1006/jmaa.1997.5386\">10.1006/jmaa.1997.5386</a>.","apa":"Rösler, M., &#38; Voit, M. (1997). An Uncertainty Principle for Ultraspherical Expansions. <i>Journal of Mathematical Analysis and Applications</i>, <i>209</i>(2), 624–634. <a href=\"https://doi.org/10.1006/jmaa.1997.5386\">https://doi.org/10.1006/jmaa.1997.5386</a>","short":"M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 209 (1997) 624–634.","chicago":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical Expansions.” <i>Journal of Mathematical Analysis and Applications</i> 209, no. 2 (1997): 624–34. <a href=\"https://doi.org/10.1006/jmaa.1997.5386\">https://doi.org/10.1006/jmaa.1997.5386</a>."},"author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"full_name":"Voit, Michael","last_name":"Voit","first_name":"Michael"}],"publication_identifier":{"issn":["0022-247X"]},"title":"An Uncertainty Principle for Ultraspherical Expansions","year":"1997","intvolume":"       209","publication_status":"published","date_updated":"2023-01-26T17:40:26Z","language":[{"iso":"eng"}],"doi":"10.1006/jmaa.1997.5386","issue":"2","publication":"Journal of Mathematical Analysis and Applications","extern":"1","date_created":"2023-01-26T08:38:11Z","department":[{"_id":"555"}],"keyword":["Applied Mathematics","Analysis"],"type":"journal_article"},{"volume":24,"user_id":"93826","ddc":["000"],"publisher":"Elsevier BV","_id":"34903","page":"267-283","has_accepted_license":"1","status":"public","citation":{"ama":"DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. <i>Journal of Symbolic Computation</i>. 1997;24(3-4):267-283. doi:<a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>","bibtex":"@article{DABERKOW_FIEKER_Klüners_POHST_ROEGNER_SCHÖRNIG_WILDANGER_1997, title={KANT V4}, volume={24}, DOI={<a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>}, number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={DABERKOW, M. and FIEKER, C. and Klüners, Jürgen and POHST, M. and ROEGNER, K. and SCHÖRNIG, M. and WILDANGER, K.}, year={1997}, pages={267–283} }","mla":"DABERKOW, M., et al. “KANT V4.” <i>Journal of Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:<a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>.","chicago":"DABERKOW, M., C. FIEKER, Jürgen Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, and K. WILDANGER. “KANT V4.” <i>Journal of Symbolic Computation</i> 24, no. 3–4 (1997): 267–83. <a href=\"https://doi.org/10.1006/jsco.1996.0126\">https://doi.org/10.1006/jsco.1996.0126</a>.","short":"M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K. WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.","apa":"DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M., &#38; WILDANGER, K. (1997). KANT V4. <i>Journal of Symbolic Computation</i>, <i>24</i>(3–4), 267–283. <a href=\"https://doi.org/10.1006/jsco.1996.0126\">https://doi.org/10.1006/jsco.1996.0126</a>","ieee":"M. DABERKOW <i>et al.</i>, “KANT V4,” <i>Journal of Symbolic Computation</i>, vol. 24, no. 3–4, pp. 267–283, 1997, doi: <a href=\"https://doi.org/10.1006/jsco.1996.0126\">10.1006/jsco.1996.0126</a>."},"doi":"10.1006/jsco.1996.0126","language":[{"iso":"eng"}],"intvolume":"        24","publication_status":"published","date_updated":"2023-03-06T09:23:30Z","publication_identifier":{"issn":["0747-7171"]},"author":[{"first_name":"M.","last_name":"DABERKOW","full_name":"DABERKOW, M."},{"full_name":"FIEKER, C.","first_name":"C.","last_name":"FIEKER"},{"id":"21202","first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen"},{"last_name":"POHST","first_name":"M.","full_name":"POHST, M."},{"first_name":"K.","last_name":"ROEGNER","full_name":"ROEGNER, K."},{"full_name":"SCHÖRNIG, M.","first_name":"M.","last_name":"SCHÖRNIG"},{"full_name":"WILDANGER, K.","first_name":"K.","last_name":"WILDANGER"}],"year":"1997","title":"KANT V4","department":[{"_id":"102"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-23T10:02:24Z","abstract":[{"lang":"eng","text":"The software packageKANT V4for computations in algebraic number fields is now available in version 4. In addition a new user interface has been released. We will outline the features of this new software package."}],"publication":"Journal of Symbolic Computation","issue":"3-4"}]
