[{"publication":"Special Functions (HongKong 1999)","type":"conference","status":"public","department":[{"_id":"555"}],"user_id":"37390","_id":"40172","language":[{"iso":"eng"}],"extern":"1","publication_status":"published","page":"309-323","citation":{"apa":"Rösler, M. (2000). Short-time estimates for heat kernels associated with root systems. <i>Special Functions (HongKong 1999)</i>, 309–323. <a href=\"https://doi.org/10.1142/9789812792303_0024\">https://doi.org/10.1142/9789812792303_0024</a>","bibtex":"@inproceedings{Rösler_2000, title={Short-time estimates for heat kernels associated with root systems}, DOI={<a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>}, booktitle={Special Functions (HongKong 1999)}, publisher={World Scientific}, author={Rösler, Margit}, year={2000}, pages={309–323} }","short":"M. Rösler, in: Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–323.","mla":"Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root Systems.” <i>Special Functions (HongKong 1999)</i>, World Scientific, 2000, pp. 309–23, doi:<a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>.","chicago":"Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root Systems.” In <i>Special Functions (HongKong 1999)</i>, 309–23. World Scientific, 2000. <a href=\"https://doi.org/10.1142/9789812792303_0024\">https://doi.org/10.1142/9789812792303_0024</a>.","ieee":"M. Rösler, “Short-time estimates for heat kernels associated with root systems,” in <i>Special Functions (HongKong 1999)</i>, 2000, pp. 309–323, doi: <a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>.","ama":"Rösler M. Short-time estimates for heat kernels associated with root systems. In: <i>Special Functions (HongKong 1999)</i>. World Scientific; 2000:309-323. doi:<a href=\"https://doi.org/10.1142/9789812792303_0024\">10.1142/9789812792303_0024</a>"},"year":"2000","author":[{"last_name":"Rösler","id":"37390","full_name":"Rösler, Margit","first_name":"Margit"}],"date_created":"2023-01-26T07:59:08Z","publisher":"World Scientific","date_updated":"2023-01-26T17:43:19Z","doi":"10.1142/9789812792303_0024","title":"Short-time estimates for heat kernels associated with root systems"},{"publisher":"Elsevier BV","date_created":"2022-12-23T09:58:16Z","title":"Galois Group Computation for Rational Polynomials","issue":"6","year":"2000","keyword":["Computational Mathematics","Algebra and Number Theory"],"language":[{"iso":"eng"}],"publication":"Journal of Symbolic Computation","abstract":[{"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.","lang":"eng"}],"date_updated":"2023-03-06T09:58:06Z","volume":30,"author":[{"first_name":"Katharina","full_name":"Geissler, Katharina","last_name":"Geissler"},{"last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202","first_name":"Jürgen"}],"doi":"10.1006/jsco.2000.0377","publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","page":"653-674","intvolume":"        30","citation":{"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>.","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>.","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>","short":"K. Geissler, J. Klüners, Journal of Symbolic Computation 30 (2000) 653–674.","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} }","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>.","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>"},"_id":"34900","department":[{"_id":"102"}],"user_id":"93826","type":"journal_article","status":"public"},{"user_id":"93826","department":[{"_id":"102"}],"_id":"34901","status":"public","type":"journal_article","doi":"10.1006/jsco.2000.0361","author":[{"full_name":"Acciaro, Vincenzo","last_name":"Acciaro","first_name":"Vincenzo"},{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"}],"volume":30,"date_updated":"2023-03-06T09:57:34Z","citation":{"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>","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>.","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>.","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} }","short":"V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.","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>.","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>"},"page":"239-252","intvolume":"        30","publication_status":"published","publication_identifier":{"issn":["0747-7171"]},"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"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","title":"Computing Local Artin Maps, and Solvability of Norm Equations","date_created":"2022-12-23T09:58:48Z","publisher":"Elsevier BV","year":"2000","issue":"3"},{"date_created":"2022-12-23T09:57:28Z","publisher":"Elsevier BV","title":"Explicit Galois Realization of Transitive Groups of Degree up to 15","issue":"6","year":"2000","language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","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."}],"volume":30,"author":[{"full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners","first_name":"Jürgen"},{"full_name":"Malle, Gunter","last_name":"Malle","first_name":"Gunter"}],"date_updated":"2023-03-06T10:48:05Z","doi":"10.1006/jsco.2000.0378","publication_identifier":{"issn":["0747-7171"]},"publication_status":"published","page":"675-716","intvolume":"        30","citation":{"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>","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} }","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>.","short":"J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.","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>.","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>.","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>"},"department":[{"_id":"102"}],"user_id":"93826","_id":"34899","type":"journal_article","status":"public"},{"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"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","title":"A Polynomial with Galois GroupSL2(11)","date_created":"2022-12-23T09:56:52Z","publisher":"Elsevier BV","year":"2000","issue":"6","department":[{"_id":"102"}],"user_id":"93826","_id":"34898","status":"public","type":"journal_article","doi":"10.1006/jsco.2000.0380","volume":30,"author":[{"first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners"}],"date_updated":"2023-03-06T10:48:40Z","intvolume":"        30","page":"733-737","citation":{"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>","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.","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} }","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>","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>.","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>."},"publication_identifier":{"issn":["0747-7171"]},"publication_status":"published"},{"year":"2000","page":"326–333","intvolume":"        60","citation":{"ama":"Glöckner H. Representations of cones and conelike semigroups. <i>Semigroup Forum</i>. 2000;60(2):326–333. doi:<a href=\"https://doi.org/10.1007/s002339910025\">10.1007/s002339910025</a>","ieee":"H. Glöckner, “Representations of cones and conelike semigroups,” <i>Semigroup Forum</i>, vol. 60, no. 2, pp. 326–333, 2000, doi: <a href=\"https://doi.org/10.1007/s002339910025\">10.1007/s002339910025</a>.","chicago":"Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” <i>Semigroup Forum</i> 60, no. 2 (2000): 326–333. <a href=\"https://doi.org/10.1007/s002339910025\">https://doi.org/10.1007/s002339910025</a>.","apa":"Glöckner, H. (2000). Representations of cones and conelike semigroups. <i>Semigroup Forum</i>, <i>60</i>(2), 326–333. <a href=\"https://doi.org/10.1007/s002339910025\">https://doi.org/10.1007/s002339910025</a>","short":"H. Glöckner, Semigroup Forum 60 (2000) 326–333.","bibtex":"@article{Glöckner_2000, title={Representations of cones and conelike semigroups}, volume={60}, DOI={<a href=\"https://doi.org/10.1007/s002339910025\">10.1007/s002339910025</a>}, number={2}, journal={Semigroup Forum}, author={Glöckner, Helge}, year={2000}, pages={326–333} }","mla":"Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” <i>Semigroup Forum</i>, vol. 60, no. 2, 2000, pp. 326–333, doi:<a href=\"https://doi.org/10.1007/s002339910025\">10.1007/s002339910025</a>."},"publication_identifier":{"issn":["0037-1912"]},"quality_controlled":"1","issue":"2","title":"Representations of cones and conelike semigroups","doi":"10.1007/s002339910025","date_updated":"2026-02-26T13:29:42Z","volume":60,"date_created":"2026-02-26T13:28:00Z","author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"status":"public","publication":"Semigroup Forum","type":"journal_article","keyword":["43A35","44A10","43A65","47B15"],"article_type":"original","language":[{"iso":"eng"}],"extern":"1","_id":"64726","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178"},{"publication_identifier":{"issn":["0045-7825"]},"publication_status":"published","page":"223-237","citation":{"ama":"Aston PJ, Dellnitz M. The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. <i>Computer Methods in Applied Mechanics and Engineering</i>. 1999:223-237. doi:<a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">10.1016/s0045-7825(98)00196-0</a>","chicago":"Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer Methods in Applied Mechanics and Engineering</i>, 1999, 223–37. <a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">https://doi.org/10.1016/s0045-7825(98)00196-0</a>.","ieee":"P. J. Aston and M. Dellnitz, “The computation of lyapunov exponents via spatial integration with application to blowout bifurcations,” <i>Computer Methods in Applied Mechanics and Engineering</i>, pp. 223–237, 1999.","bibtex":"@article{Aston_Dellnitz_1999, title={The computation of lyapunov exponents via spatial integration with application to blowout bifurcations}, DOI={<a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">10.1016/s0045-7825(98)00196-0</a>}, journal={Computer Methods in Applied Mechanics and Engineering}, author={Aston, Philip J. and Dellnitz, Michael}, year={1999}, pages={223–237} }","mla":"Aston, Philip J., and Michael Dellnitz. “The Computation of Lyapunov Exponents via Spatial Integration with Application to Blowout Bifurcations.” <i>Computer Methods in Applied Mechanics and Engineering</i>, 1999, pp. 223–37, doi:<a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">10.1016/s0045-7825(98)00196-0</a>.","short":"P.J. Aston, M. Dellnitz, Computer Methods in Applied Mechanics and Engineering (1999) 223–237.","apa":"Aston, P. J., &#38; Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. <i>Computer Methods in Applied Mechanics and Engineering</i>, 223–237. <a href=\"https://doi.org/10.1016/s0045-7825(98)00196-0\">https://doi.org/10.1016/s0045-7825(98)00196-0</a>"},"year":"1999","date_created":"2020-04-15T07:27:08Z","author":[{"first_name":"Philip J.","last_name":"Aston","full_name":"Aston, Philip J."},{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"}],"date_updated":"2022-01-06T06:52:52Z","doi":"10.1016/s0045-7825(98)00196-0","title":"The computation of lyapunov exponents via spatial integration with application to blowout bifurcations","publication":"Computer Methods in Applied Mechanics and Engineering","type":"journal_article","status":"public","department":[{"_id":"101"}],"user_id":"15701","_id":"16511","language":[{"iso":"eng"}]},{"status":"public","publication":"SIAM Journal on Numerical Analysis","type":"journal_article","language":[{"iso":"eng"}],"_id":"16537","department":[{"_id":"101"}],"user_id":"15701","year":"1999","page":"491-515","citation":{"apa":"Dellnitz, M., &#38; Junge, O. (1999). On the Approximation of Complicated Dynamical Behavior. <i>SIAM Journal on Numerical Analysis</i>, 491–515. <a href=\"https://doi.org/10.1137/s0036142996313002\">https://doi.org/10.1137/s0036142996313002</a>","bibtex":"@article{Dellnitz_Junge_1999, title={On the Approximation of Complicated Dynamical Behavior}, DOI={<a href=\"https://doi.org/10.1137/s0036142996313002\">10.1137/s0036142996313002</a>}, journal={SIAM Journal on Numerical Analysis}, author={Dellnitz, Michael and Junge, Oliver}, year={1999}, pages={491–515} }","short":"M. Dellnitz, O. Junge, SIAM Journal on Numerical Analysis (1999) 491–515.","mla":"Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, pp. 491–515, doi:<a href=\"https://doi.org/10.1137/s0036142996313002\">10.1137/s0036142996313002</a>.","ieee":"M. Dellnitz and O. Junge, “On the Approximation of Complicated Dynamical Behavior,” <i>SIAM Journal on Numerical Analysis</i>, pp. 491–515, 1999.","chicago":"Dellnitz, Michael, and Oliver Junge. “On the Approximation of Complicated Dynamical Behavior.” <i>SIAM Journal on Numerical Analysis</i>, 1999, 491–515. <a href=\"https://doi.org/10.1137/s0036142996313002\">https://doi.org/10.1137/s0036142996313002</a>.","ama":"Dellnitz M, Junge O. On the Approximation of Complicated Dynamical Behavior. <i>SIAM Journal on Numerical Analysis</i>. 1999:491-515. doi:<a href=\"https://doi.org/10.1137/s0036142996313002\">10.1137/s0036142996313002</a>"},"publication_identifier":{"issn":["0036-1429","1095-7170"]},"publication_status":"published","title":"On the Approximation of Complicated Dynamical Behavior","doi":"10.1137/s0036142996313002","date_updated":"2022-01-06T06:52:52Z","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"}],"date_created":"2020-04-15T08:35:45Z"},{"date_updated":"2022-01-06T06:52:52Z","author":[{"first_name":"Peter","full_name":"Deuflhard, Peter","last_name":"Deuflhard"},{"first_name":"Michael","last_name":"Dellnitz","full_name":"Dellnitz, Michael"},{"last_name":"Junge","full_name":"Junge, Oliver","first_name":"Oliver"},{"first_name":"Christof","full_name":"Schütte, Christof","last_name":"Schütte"}],"date_created":"2020-04-16T05:43:16Z","title":"Computation of Essential Molecular Dynamics by Subdivision Techniques","doi":"10.1007/978-3-642-58360-5_5","publication_status":"published","publication_identifier":{"isbn":["9783540632429","9783642583605"],"issn":["1439-7358"]},"place":"Berlin, Heidelberg","year":"1999","citation":{"ieee":"P. Deuflhard, M. Dellnitz, O. Junge, and C. Schütte, “Computation of Essential Molecular Dynamics by Subdivision Techniques,” in <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>, Berlin, Heidelberg, 1999.","chicago":"Deuflhard, Peter, Michael Dellnitz, Oliver Junge, and Christof Schütte. “Computation of Essential Molecular Dynamics by Subdivision Techniques.” In <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg, 1999. <a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">https://doi.org/10.1007/978-3-642-58360-5_5</a>.","ama":"Deuflhard P, Dellnitz M, Junge O, Schütte C. Computation of Essential Molecular Dynamics by Subdivision Techniques. In: <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg; 1999. doi:<a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">10.1007/978-3-642-58360-5_5</a>","apa":"Deuflhard, P., Dellnitz, M., Junge, O., &#38; Schütte, C. (1999). Computation of Essential Molecular Dynamics by Subdivision Techniques. In <i>Computational Molecular Dynamics: Challenges, Methods, Ideas</i>. Berlin, Heidelberg. <a href=\"https://doi.org/10.1007/978-3-642-58360-5_5\">https://doi.org/10.1007/978-3-642-58360-5_5</a>","short":"P. Deuflhard, M. Dellnitz, O. Junge, C. 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Rösler, Bulletin of the Australian Mathematical Society 59 (1999) 353–360.","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} }","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>","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>","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>.","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>."},"department":[{"_id":"555"}],"user_id":"93826","_id":"40184","extern":"1","type":"journal_article","status":"public","date_created":"2023-01-26T08:19:30Z","publisher":"Cambridge University Press (CUP)","title":"An uncertainty principle for the Dunkl transform","issue":"3","year":"1999","language":[{"iso":"eng"}],"keyword":["General Mathematics"],"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>"}]},{"_id":"40189","department":[{"_id":"555"}],"user_id":"93826","extern":"1","type":"journal_article","status":"public","date_updated":"2023-01-26T17:40:05Z","volume":98,"author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"}],"doi":"10.1215/s0012-7094-99-09813-7","publication_identifier":{"issn":["0012-7094"]},"publication_status":"published","intvolume":"        98","page":"445-463","citation":{"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>","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} }","short":"M. Rösler, Duke Mathematical Journal 98 (1999) 445–463.","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>.","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>.","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>.","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>"},"keyword":["General Mathematics"],"language":[{"iso":"eng"}],"publication":"Duke Mathematical Journal","publisher":"Duke University Press","date_created":"2023-01-26T08:25:43Z","title":"Positivity of Dunkl’s intertwining operator","issue":"3","year":"1999"},{"abstract":[{"lang":"eng","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>"}],"status":"public","publication":"Canadian Journal of Mathematics","type":"journal_article","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"extern":"1","_id":"40192","department":[{"_id":"555"}],"user_id":"37390","year":"1999","page":"96-116","intvolume":"        51","citation":{"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>","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>.","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} }","short":"M. Rösler, M. 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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>"},"publication_identifier":{"issn":["0008-414X","1496-4279"]},"publication_status":"published","issue":"1","title":"Partial Characters and Signed Quotient Hypergroups","doi":"10.4153/cjm-1999-006-6","date_updated":"2023-01-26T17:51:42Z","publisher":"Canadian Mathematical Society","volume":51,"author":[{"first_name":"Margit","full_name":"Rösler, Margit","id":"37390","last_name":"Rösler"},{"full_name":"Voit, Michael","last_name":"Voit","first_name":"Michael"}],"date_created":"2023-01-26T08:27:14Z"},{"date_updated":"2023-03-06T09:21:29Z","author":[{"first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners"}],"volume":27,"doi":"10.1006/jsco.1998.0252","publication_status":"published","publication_identifier":{"issn":["0747-7171"]},"citation":{"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>","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>.","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>.","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>","short":"J. Klüners, Journal of Symbolic Computation 27 (1999) 261–269.","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>.","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} }"},"page":"261-269","intvolume":"        27","_id":"34902","user_id":"93826","department":[{"_id":"102"}],"type":"journal_article","status":"public","publisher":"Elsevier BV","date_created":"2022-12-23T10:01:15Z","title":"On Polynomial Decompositions","issue":"3","year":"1999","keyword":["Computational Mathematics","Algebra and Number Theory"],"language":[{"iso":"eng"}],"publication":"Journal of Symbolic Computation","abstract":[{"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.","lang":"eng"}]},{"date_updated":"2023-03-06T10:28:52Z","volume":68,"author":[{"full_name":"Klüners, Jürgen","id":"21202","last_name":"Klüners","first_name":"Jürgen"},{"last_name":"Acciaro","full_name":"Acciaro, Vincenzo","first_name":"Vincenzo"}],"publication_identifier":{"issn":["1088-6842","0025-5718"]},"publication_status":"published","related_material":{"link":[{"relation":"confirmation","url":"https://www.ams.org/journals/mcom/1999-68-227/S0025-5718-99-01084-4/S0025-5718-99-01084-4.pdf"}]},"page":"1179-1186","intvolume":"        68","citation":{"bibtex":"@article{Klüners_Acciaro_1999, title={Computing Automorphisms of Abelian Number Fields}, volume={68}, number={227}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Acciaro, Vincenzo}, year={1999}, pages={1179–1186} }","short":"J. Klüners, V. Acciaro, Mathematics of Computation 68 (1999) 1179–1186.","mla":"Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” <i>Mathematics of Computation</i>, vol. 68, no. 227, American Mathematical Society (AMS), 1999, pp. 1179–86.","apa":"Klüners, J., &#38; Acciaro, V. (1999). Computing Automorphisms of Abelian Number Fields. <i>Mathematics of Computation</i>, <i>68</i>(227), 1179–1186.","ieee":"J. Klüners and V. Acciaro, “Computing Automorphisms of Abelian Number Fields,” <i>Mathematics of Computation</i>, vol. 68, no. 227, pp. 1179–1186, 1999.","chicago":"Klüners, Jürgen, and Vincenzo Acciaro. “Computing Automorphisms of Abelian Number Fields.” <i>Mathematics of Computation</i> 68, no. 227 (1999): 1179–86.","ama":"Klüners J, Acciaro V. Computing Automorphisms of Abelian Number Fields. <i>Mathematics of Computation</i>. 1999;68(227):1179-1186."},"_id":"35941","department":[{"_id":"102"}],"user_id":"93826","type":"journal_article","status":"public","publisher":"American Mathematical Society (AMS)","date_created":"2023-01-11T09:31:21Z","title":"Computing Automorphisms of Abelian Number Fields","issue":"227","year":"1999","language":[{"iso":"eng"}],"publication":"Mathematics of Computation","abstract":[{"text":"Let L = ℚ(α) be an abelian number field of degree n. Most\r\nalgorithms for computing the lattice of subfields of L require the computation\r\nof all the conjugates of α. This is usually achieved by factoring the minimal\r\npolynomial mα(x) of α over L. In practice, the existing algorithms for factoring\r\npolynomials over algebraic number fields can handle only problems of moderate\r\nsize. In this paper we describe a fast probabilistic algorithm for computing\r\nthe conjugates of α, which is based on p-adic techniques. Given mα(x) and a\r\nrational prime p which does not divide the discriminant disc(mα(x)) of mα(x),\r\nthe algorithm computes the Frobenius automorphism of p in time polynomial\r\nin the size of p and in the size of mα(x). By repeatedly applying the algorithm\r\nto randomly chosen primes it is possible to compute all the conjugates of α.","lang":"eng"}]}]