[{"date_created":"2024-02-19T07:08:38Z","type":"journal_article","department":[{"_id":"91"}],"publication":"AMS Translations","citation":{"bibtex":"@article{Hilgert_Vinberg_Pasquale_2003, title={The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms}, volume={210}, journal={AMS Translations}, author={Hilgert, Joachim and Vinberg, E.B. and Pasquale, A.}, year={2003}, pages={135–143} }","ama":"Hilgert J, Vinberg EB, Pasquale A. The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms. <i>AMS Translations</i>. 2003;210:135-143.","mla":"Hilgert, Joachim, et al. “The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms.” <i>AMS Translations</i>, vol. 210, 2003, pp. 135–43.","chicago":"Hilgert, Joachim, E.B. Vinberg, and A. Pasquale. “The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms.” <i>AMS Translations</i> 210 (2003): 135–43.","short":"J. Hilgert, E.B. Vinberg, A. Pasquale, AMS Translations 210 (2003) 135–143.","ieee":"J. Hilgert, E. B. Vinberg, and A. Pasquale, “The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms,” <i>AMS Translations</i>, vol. 210, pp. 135–143, 2003.","apa":"Hilgert, J., Vinberg, E. B., &#38; Pasquale, A. (2003). The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms. <i>AMS Translations</i>, <i>210</i>, 135–143."},"extern":"1","page":"135-143","language":[{"iso":"eng"}],"_id":"51411","user_id":"49063","volume":210,"title":"The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms","status":"public","year":"2003","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"},{"last_name":"Vinberg","first_name":"E.B.","full_name":"Vinberg, E.B."},{"full_name":"Pasquale, A.","first_name":"A.","last_name":"Pasquale"}],"publication_status":"published","date_updated":"2024-02-20T13:27:50Z","intvolume":"       210"},{"publisher":"Springer Berlin Heidelberg","_id":"39956","language":[{"iso":"eng"}],"page":"93–135","doi":"10.1007/3-540-44945-0_3","user_id":"93826","author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"}],"publication_identifier":{"isbn":["9783540403753","9783540449454"],"issn":["0075-8434"]},"year":"2003","status":"public","title":"Dunkl Operators: Theory and Applications","date_updated":"2023-01-26T17:44:19Z","publication_status":"published","place":"Berlin, Heidelberg","date_created":"2023-01-25T10:09:14Z","department":[{"_id":"555"}],"type":"book_chapter","citation":{"short":"M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2003, pp. 93–135.","chicago":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” In <i>Lecture Notes in Mathematics</i>, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. <a href=\"https://doi.org/10.1007/3-540-44945-0_3\">https://doi.org/10.1007/3-540-44945-0_3</a>.","ieee":"M. Rösler, “Dunkl Operators: Theory and Applications,” in <i>Lecture Notes in Mathematics</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp. 93–135.","apa":"Rösler, M. (2003). Dunkl Operators: Theory and Applications. In <i>Lecture Notes in Mathematics</i> (pp. 93–135). Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/3-540-44945-0_3\">https://doi.org/10.1007/3-540-44945-0_3</a>","bibtex":"@inbook{Rösler_2003, place={Berlin, Heidelberg}, title={Dunkl Operators: Theory and Applications}, DOI={<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>}, booktitle={Lecture Notes in Mathematics}, publisher={Springer Berlin Heidelberg}, author={Rösler, Margit}, year={2003}, pages={93–135} }","ama":"Rösler M. Dunkl Operators: Theory and Applications. In: <i>Lecture Notes in Mathematics</i>. Springer Berlin Heidelberg; 2003:93–135. doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>","mla":"Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href=\"https://doi.org/10.1007/3-540-44945-0_3\">10.1007/3-540-44945-0_3</a>."},"publication":"Lecture Notes in Mathematics","extern":"1"},{"title":"A positive radial product formula for the Dunkl kernel","year":"2003","author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"}],"publication_status":"published","date_updated":"2023-01-26T17:44:10Z","intvolume":"       355","language":[{"iso":"eng"}],"doi":"10.48550/ARXIV.MATH/0210137","publication":"Transactions of the American Mathematical Society","issue":"6","extern":"1","abstract":[{"text":"It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is proven, namely a positive radial product formula for the non-symmetric counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby means that one of the factors in the product formula is replaced by its mean over a sphere. The key to this product formula is a positivity result for the Dunkl-type spherical mean operator. It can also be interpreted in the sense that the Dunkl-type generalized translation of radial functions is positivity-preserving. As an application, we construct Dunkl-type homogeneous Markov processes associated with radial probability distributions.","lang":"eng"}],"date_created":"2023-01-25T10:17:51Z","type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"2413–2438","publisher":"American Mathematical Society (AMS)","_id":"39957","user_id":"93826","volume":355,"citation":{"mla":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical Society (AMS), 2003, pp. 2413–2438, doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","apa":"Rösler, M. (2003). A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>","ieee":"M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003, doi: <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>.","chicago":"Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438. <a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.","short":"M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.","ama":"Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>","bibtex":"@article{Rösler_2003, title={A positive radial product formula for the Dunkl kernel}, volume={355}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.MATH/0210137\">10.48550/ARXIV.MATH/0210137</a>}, number={6}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438} }"}},{"date_updated":"2023-03-06T09:19:16Z","publication_status":"published","intvolume":"        99","title":"Minimal discriminants for fields with small Frobenius groups as Galois groups","year":"2003","publication_identifier":{"issn":["0022-314X"]},"author":[{"full_name":"Fieker, Claus","first_name":"Claus","last_name":"Fieker"},{"last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202"}],"doi":"10.1016/s0022-314x(02)00071-9","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We apply class field theory to the computation of the minimal discriminants for certain solvable groups. In particular, we apply our techniques to small Frobenius groups and all imprimitive degree 8 groups such that the corresponding fields have only a degree 2 and no degree 4 subfield."}],"issue":"2","publication":"Journal of Number Theory","keyword":["Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"date_created":"2022-12-23T09:53:23Z","status":"public","user_id":"93826","volume":99,"page":"318-337","_id":"34896","publisher":"Elsevier BV","citation":{"ama":"Fieker C, Klüners J. Minimal discriminants for fields with small Frobenius groups as Galois groups. <i>Journal of Number Theory</i>. 2003;99(2):318-337. doi:<a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>","bibtex":"@article{Fieker_Klüners_2003, title={Minimal discriminants for fields with small Frobenius groups as Galois groups}, volume={99}, DOI={<a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>}, number={2}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Fieker, Claus and Klüners, Jürgen}, year={2003}, pages={318–337} }","mla":"Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i>, vol. 99, no. 2, Elsevier BV, 2003, pp. 318–37, doi:<a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>.","chicago":"Fieker, Claus, and Jürgen Klüners. “Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups.” <i>Journal of Number Theory</i> 99, no. 2 (2003): 318–37. <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">https://doi.org/10.1016/s0022-314x(02)00071-9</a>.","short":"C. Fieker, J. Klüners, Journal of Number Theory 99 (2003) 318–337.","apa":"Fieker, C., &#38; Klüners, J. (2003). Minimal discriminants for fields with small Frobenius groups as Galois groups. <i>Journal of Number Theory</i>, <i>99</i>(2), 318–337. <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">https://doi.org/10.1016/s0022-314x(02)00071-9</a>","ieee":"C. Fieker and J. Klüners, “Minimal discriminants for fields with small Frobenius groups as Galois groups,” <i>Journal of Number Theory</i>, vol. 99, no. 2, pp. 318–337, 2003, doi: <a href=\"https://doi.org/10.1016/s0022-314x(02)00071-9\">10.1016/s0022-314x(02)00071-9</a>."}},{"language":[{"iso":"eng"}],"_id":"44357","page":"867–874","volume":55,"user_id":"49063","author":[{"last_name":"Burban","first_name":"Igor","full_name":"Burban, Igor","id":"72064"}],"year":"2003","status":"public","title":"Stable vector bundles on a rational curve with one node","intvolume":"        55","date_updated":"2023-05-07T01:37:46Z","publication_status":"published","date_created":"2023-05-03T00:50:00Z","department":[{"_id":"602"}],"type":"journal_article","citation":{"short":"I. Burban, Ukrain. Mat. Zh. 55 (2003) 867–874.","chicago":"Burban, Igor. “Stable Vector Bundles on a Rational Curve with One Node.” <i>Ukrain. Mat. Zh.</i> 55, no. 7 (2003): 867–874.","apa":"Burban, I. (2003). Stable vector bundles on a rational curve with one node. <i>Ukrain. Mat. Zh.</i>, <i>55</i>(7), 867–874.","ieee":"I. Burban, “Stable vector bundles on a rational curve with one node,” <i>Ukrain. Mat. Zh.</i>, vol. 55, no. 7, pp. 867–874, 2003.","ama":"Burban I. Stable vector bundles on a rational curve with one node. <i>Ukrain Mat Zh</i>. 2003;55(7):867–874.","bibtex":"@article{Burban_2003, title={Stable vector bundles on a rational curve with one node}, volume={55}, number={7}, journal={Ukrain. Mat. Zh.}, author={Burban, Igor}, year={2003}, pages={867–874} }","mla":"Burban, Igor. “Stable Vector Bundles on a Rational Curve with One Node.” <i>Ukrain. Mat. Zh.</i>, vol. 55, no. 7, 2003, pp. 867–874."},"publication":"Ukrain. Mat. Zh.","issue":"7","extern":"1"},{"_id":"56913","page":"11–25","volume":23,"ddc":["510"],"user_id":"37888","status":"public","has_accepted_license":"1","citation":{"mla":"Biehler, Rolf, et al. “MUFFINS–Statistik Mit Komplexen Datensätzen–Freizeitgestaltung Und Mediennutzung von Jugendlichen.” <i>Stochastik in Der Schule</i>, vol. 23, no. 1, 2003, pp. 11–25.","ama":"Biehler R, Kombrink K, Schweynoch S. MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen. <i>Stochastik in der Schule</i>. 2003;23(1):11–25.","bibtex":"@article{Biehler_Kombrink_Schweynoch_2003, title={MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen}, volume={23}, number={1}, journal={Stochastik in der Schule}, author={Biehler, Rolf and Kombrink, Klaus and Schweynoch, Stefan}, year={2003}, pages={11–25} }","apa":"Biehler, R., Kombrink, K., &#38; Schweynoch, S. (2003). MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen. <i>Stochastik in Der Schule</i>, <i>23</i>(1), 11–25.","ieee":"R. Biehler, K. Kombrink, and S. Schweynoch, “MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen,” <i>Stochastik in der Schule</i>, vol. 23, no. 1, pp. 11–25, 2003.","short":"R. Biehler, K. Kombrink, S. Schweynoch, Stochastik in Der Schule 23 (2003) 11–25.","chicago":"Biehler, Rolf, Klaus Kombrink, and Stefan Schweynoch. “MUFFINS–Statistik Mit Komplexen Datensätzen–Freizeitgestaltung Und Mediennutzung von Jugendlichen.” <i>Stochastik in Der Schule</i> 23, no. 1 (2003): 11–25."},"file_date_updated":"2024-11-06T10:51:45Z","language":[{"iso":"eng"}],"main_file_link":[{"url":"http://www.math.uni-paderborn.de/~agbiehler/sis/"}],"author":[{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"},{"full_name":"Kombrink, Klaus","first_name":"Klaus","last_name":"Kombrink"},{"full_name":"Schweynoch, Stefan","first_name":"Stefan","last_name":"Schweynoch"}],"title":"MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen","year":"2003","intvolume":"        23","date_updated":"2024-11-06T10:52:45Z","date_created":"2024-11-06T10:20:50Z","file":[{"date_created":"2024-11-06T10:51:45Z","creator":"krueter","file_id":"56915","success":1,"content_type":"application/pdf","file_name":"Biehler_2003_Fragebogen_Muffins.pdf","file_size":64623,"access_level":"closed","relation":"main_file","date_updated":"2024-11-06T10:51:45Z"}],"department":[{"_id":"363"}],"type":"journal_article","issue":"1","publication":"Stochastik in der Schule","extern":"1"},{"user_id":"37888","_id":"56912","publisher":"Max-Planck-Institute for Human Development","language":[{"iso":"eng"}],"date_updated":"2024-11-06T10:19:40Z","title":"Interrelated learning and working environments for supporting the use of computer tools in introductory courses","year":"2003","status":"public","conference":{"name":"IASE Satellite conference on Teaching Statistics and the Internet, August 2003","location":"Berlin"},"author":[{"full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler","id":"16274"}],"type":"book_chapter","department":[{"_id":"363"}],"place":"Berlin","date_created":"2024-11-06T10:15:23Z","extern":"1","publication":"Proceedings of the IASE Satellite Conference Statistics Education and the Internet","citation":{"ama":"Biehler R. 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Biehler, in: Proceedings of the IASE Satellite Conference Statistics Education and the Internet, Max-Planck-Institute for Human Development, Berlin, 2003.","apa":"Biehler, R. (2003). Interrelated learning and working environments for supporting the use of computer tools in introductory courses. In <i>Proceedings of the IASE Satellite Conference Statistics Education and the Internet</i>. IASE Satellite conference on Teaching Statistics and the Internet, August 2003, Berlin. Max-Planck-Institute for Human Development.","ieee":"R. Biehler, “Interrelated learning and working environments for supporting the use of computer tools in introductory courses,” in <i>Proceedings of the IASE Satellite Conference Statistics Education and the Internet</i>, Berlin: Max-Planck-Institute for Human Development, 2003."}},{"extern":"1","publication":"Beiträge zum Mathematikunterricht 2003","citation":{"ieee":"R. Biehler, “Simulation als systematischer Strang im Stochastikcurriculum,” in <i>Beiträge zum Mathematikunterricht 2003</i>, H.-W. Henn, Ed. Hildesheim: Franzbecker, 2003, pp. 109–112.","apa":"Biehler, R. (2003). Simulation als systematischer Strang im Stochastikcurriculum. In H.-W. Henn (Ed.), <i>Beiträge zum Mathematikunterricht 2003</i> (pp. 109–112). Franzbecker.","chicago":"Biehler, Rolf. “Simulation Als Systematischer Strang Im Stochastikcurriculum.” In <i>Beiträge Zum Mathematikunterricht 2003</i>, edited by H.-W. Henn, 109–12. Hildesheim: Franzbecker, 2003.","short":"R. Biehler, in: H.-W. Henn (Ed.), Beiträge Zum Mathematikunterricht 2003, Franzbecker, Hildesheim, 2003, pp. 109–112.","mla":"Biehler, Rolf. “Simulation Als Systematischer Strang Im Stochastikcurriculum.” <i>Beiträge Zum Mathematikunterricht 2003</i>, edited by H.-W. Henn, Franzbecker, 2003, pp. 109–12.","bibtex":"@inbook{Biehler_2003, place={Hildesheim}, title={Simulation als systematischer Strang im Stochastikcurriculum}, booktitle={Beiträge zum Mathematikunterricht 2003}, publisher={Franzbecker}, author={Biehler, Rolf}, editor={Henn, H.-W.}, year={2003}, pages={109–112} }","ama":"Biehler R. Simulation als systematischer Strang im Stochastikcurriculum. In: Henn H-W, ed. <i>Beiträge Zum Mathematikunterricht 2003</i>. Franzbecker; 2003:109-112."},"type":"book_chapter","department":[{"_id":"363"}],"date_created":"2024-11-06T10:25:02Z","place":"Hildesheim","date_updated":"2024-11-06T10:30:45Z","title":"Simulation als systematischer Strang im Stochastikcurriculum","year":"2003","status":"public","author":[{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"}],"user_id":"37888","editor":[{"full_name":"Henn, H.-W.","last_name":"Henn","first_name":"H.-W."}],"page":"109-112","_id":"56914","publisher":"Franzbecker","language":[{"iso":"eng"}]},{"quality_controlled":"1","citation":{"mla":"Glöckner, Helge. <i>Positive Definite Functions on Infinite-Dimensional Convex Cones</i>. Providence, RI: American Mathematical Society (AMS), 2003, doi:<a href=\"https://doi.org/10.1090/memo/0789\">10.1090/memo/0789</a>.","ama":"Glöckner H. <i>Positive Definite Functions on Infinite-Dimensional Convex Cones</i>. Vol 789. Providence, RI: American Mathematical Society (AMS); 2003. doi:<a href=\"https://doi.org/10.1090/memo/0789\">10.1090/memo/0789</a>","bibtex":"@book{Glöckner_2003, series={Memoirs of the American Mathematical Society}, title={Positive definite functions on infinite-dimensional convex cones}, volume={789}, DOI={<a href=\"https://doi.org/10.1090/memo/0789\">10.1090/memo/0789</a>}, publisher={Providence, RI: American Mathematical Society (AMS)}, author={Glöckner, Helge}, year={2003}, collection={Memoirs of the American Mathematical Society} }","apa":"Glöckner, H. (2003). <i>Positive definite functions on infinite-dimensional convex cones</i> (Vol. 789). Providence, RI: American Mathematical Society (AMS). <a href=\"https://doi.org/10.1090/memo/0789\">https://doi.org/10.1090/memo/0789</a>","ieee":"H. Glöckner, <i>Positive definite functions on infinite-dimensional convex cones</i>, vol. 789. Providence, RI: American Mathematical Society (AMS), 2003.","chicago":"Glöckner, Helge. <i>Positive Definite Functions on Infinite-Dimensional Convex Cones</i>. Vol. 789. Memoirs of the American Mathematical Society. Providence, RI: American Mathematical Society (AMS), 2003. <a href=\"https://doi.org/10.1090/memo/0789\">https://doi.org/10.1090/memo/0789</a>.","short":"H. Glöckner, Positive Definite Functions on Infinite-Dimensional Convex Cones, Providence, RI: American Mathematical Society (AMS), 2003."},"status":"public","volume":789,"user_id":"178","_id":"64710","publisher":"Providence, RI: American Mathematical Society (AMS)","extern":"1","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"book","keyword":["43A35","20M30","44A10","46E22","43A65"],"date_created":"2026-02-26T12:14:23Z","intvolume":"       789","date_updated":"2026-02-27T07:49:35Z","author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"}],"publication_identifier":{"issn":["0065-9266"],"isbn":["978-0-8218-3256-1; 978-1-4704-0387-4"]},"year":"2003","title":"Positive definite functions on infinite-dimensional convex cones","doi":"10.1090/memo/0789","series_title":"Memoirs of the American Mathematical Society","language":[{"iso":"eng"}]},{"citation":{"ama":"Glöckner H, Neeb K-H. 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