@article{39957,
  abstract     = {{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.}},
  author       = {{Rösler, Margit}},
  journal      = {{Transactions of the American Mathematical Society}},
  number       = {{6}},
  pages        = {{2413–2438}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{A positive radial product formula for the Dunkl kernel}}},
  doi          = {{10.48550/ARXIV.MATH/0210137}},
  volume       = {{355}},
  year         = {{2003}},
}

@article{34896,
  abstract     = {{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.}},
  author       = {{Fieker, Claus and Klüners, Jürgen}},
  issn         = {{0022-314X}},
  journal      = {{Journal of Number Theory}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{2}},
  pages        = {{318--337}},
  publisher    = {{Elsevier BV}},
  title        = {{{Minimal discriminants for fields with small Frobenius groups as Galois groups}}},
  doi          = {{10.1016/s0022-314x(02)00071-9}},
  volume       = {{99}},
  year         = {{2003}},
}

@article{44357,
  author       = {{Burban, Igor}},
  journal      = {{Ukrain. Mat. Zh.}},
  number       = {{7}},
  pages        = {{867–874}},
  title        = {{{Stable vector bundles on a rational curve with one node}}},
  volume       = {{55}},
  year         = {{2003}},
}

@article{56913,
  author       = {{Biehler, Rolf and Kombrink, Klaus and Schweynoch, Stefan}},
  journal      = {{Stochastik in der Schule}},
  number       = {{1}},
  pages        = {{11–25}},
  title        = {{{MUFFINS–Statistik mit komplexen Datensätzen–Freizeitgestaltung und Mediennutzung von Jugendlichen}}},
  volume       = {{23}},
  year         = {{2003}},
}

@inbook{56912,
  author       = {{Biehler, Rolf}},
  booktitle    = {{Proceedings of the IASE Satellite Conference Statistics Education and the Internet}},
  location     = {{Berlin}},
  publisher    = {{Max-Planck-Institute for Human Development}},
  title        = {{{Interrelated learning and working environments for supporting the use of computer tools in introductory courses}}},
  year         = {{2003}},
}

@inbook{56914,
  author       = {{Biehler, Rolf}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2003}},
  editor       = {{Henn, H.-W.}},
  pages        = {{109--112}},
  publisher    = {{Franzbecker}},
  title        = {{{Simulation als systematischer Strang im Stochastikcurriculum}}},
  year         = {{2003}},
}

@book{64710,
  author       = {{Glöckner, Helge}},
  isbn         = {{978-0-8218-3256-1; 978-1-4704-0387-4}},
  issn         = {{0065-9266}},
  keywords     = {{43A35, 20M30, 44A10, 46E22, 43A65}},
  publisher    = {{Providence, RI: American Mathematical Society (AMS)}},
  title        = {{{Positive definite functions on infinite-dimensional convex cones}}},
  doi          = {{10.1090/memo/0789}},
  volume       = {{789}},
  year         = {{2003}},
}

@article{64712,
  author       = {{Glöckner, Helge and Neeb, Karl-Hermann}},
  issn         = {{0075-4102}},
  journal      = {{Journal für die reine und angewandte Mathematik}},
  keywords     = {{22E65, 22E15, 22E10}},
  pages        = {{1–28}},
  title        = {{{Banach-Lie quotients, enlargibility, and universal complexifications}}},
  doi          = {{10.1515/crll.2003.056}},
  volume       = {{560}},
  year         = {{2003}},
}

@article{64711,
  author       = {{Glöckner, Helge}},
  issn         = {{0008-414X}},
  journal      = {{Canadian Journal of Mathematics}},
  keywords     = {{22E67, 46E40, 46T20}},
  number       = {{5}},
  pages        = {{969–999}},
  title        = {{{Lie groups of measurable mappings.}}},
  doi          = {{10.4153/CJM-2003-039-9}},
  volume       = {{55}},
  year         = {{2003}},
}

@article{64709,
  author       = {{Glöckner, Helge}},
  issn         = {{0023-608X}},
  journal      = {{Journal of Mathematics of Kyoto University}},
  keywords     = {{22E65, 58B25}},
  number       = {{1}},
  pages        = {{1–26}},
  title        = {{{Direct limit Lie groups and manifolds}}},
  doi          = {{10.1215/kjm/1250283739}},
  volume       = {{43}},
  year         = {{2003}},
}

@inbook{16538,
  author       = {{Dellnitz, Michael and Junge, Oliver}},
  booktitle    = {{Handbook of Dynamical Systems}},
  isbn         = {{9780444501684}},
  issn         = {{1874-575X}},
  title        = {{{Set Oriented Numerical Methods for Dynamical Systems}}},
  doi          = {{10.1016/s1874-575x(02)80026-1}},
  year         = {{2002}},
}

@article{16556,
  author       = {{Dellnitz, M.}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  pages        = {{167--185}},
  title        = {{{Finding zeros by multilevel subdivision techniques}}},
  doi          = {{10.1093/imanum/22.2.167}},
  year         = {{2002}},
}

@article{16586,
  author       = {{Elsässer, Robert and Monien, Burkhard and Preis, Robert}},
  issn         = {{1432-4350}},
  journal      = {{Theory of Computing Systems}},
  pages        = {{305--320}},
  title        = {{{Diffusion Schemes for Load Balancing on Heterogeneous Networks}}},
  doi          = {{10.1007/s00224-002-1056-4}},
  year         = {{2002}},
}

@inbook{51470,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Handbook on the Heart of Algebra}},
  editor       = {{Mikhalev, A.V. and Pilz, G.F.}},
  publisher    = {{Kluwer}},
  title        = {{{Representation Theory of Lie Groups}}},
  year         = {{2002}},
}

@inbook{51471,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Handbook on the Heart of Algebra}},
  editor       = {{Mikhalev, A.V. and Pilz, G.F.}},
  publisher    = {{Kluwer}},
  title        = {{{Lie Groups}}},
  year         = {{2002}},
}

@article{51412,
  author       = {{Hilgert, Joachim and Mayer, D.}},
  journal      = {{Commun Math. Phys.}},
  pages        = {{19--58}},
  title        = {{{Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin Models}}},
  volume       = {{232}},
  year         = {{2002}},
}

@article{51413,
  author       = {{Hilgert, Joachim and Pasquale, A. and Vinberg, E.B.}},
  journal      = {{Moscow Math. J.}},
  pages        = {{113--126}},
  title        = {{{The Dual Horospherical Radon Transform for Polynomials}}},
  volume       = {{2}},
  year         = {{2002}},
}

@misc{51579,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{JBer. DMV}},
  title        = {{{Juhl, A. Cohomological Theory of Dynamical Zeta Functions  (Birkhäuser, Boston, 2000)}}},
  volume       = {{104}},
  year         = {{2002}},
}

@misc{51580,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Semigroup Forum}},
  title        = {{{Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De Gruyter, Berlin, 2000)}}},
  volume       = {{64}},
  year         = {{2002}},
}

@book{51591,
  editor       = {{Hilgert, Joachim and Strasburger, A. and Neeb, K.-H. and Wojtynski, W.}},
  publisher    = {{Banach Center Publications 55}},
  title        = {{{Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups}}},
  year         = {{2002}},
}