@article{51411,
  author       = {{Hilgert, Joachim and Vinberg, E.B. and Pasquale, A.}},
  journal      = {{AMS Translations}},
  pages        = {{135--143}},
  title        = {{{The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms}}},
  volume       = {{210}},
  year         = {{2003}},
}

@inbook{39956,
  author       = {{Rösler, Margit}},
  booktitle    = {{Lecture Notes in Mathematics}},
  isbn         = {{9783540403753}},
  issn         = {{0075-8434}},
  pages        = {{93–135}},
  publisher    = {{Springer Berlin Heidelberg}},
  title        = {{{Dunkl Operators: Theory and Applications}}},
  doi          = {{10.1007/3-540-44945-0_3}},
  year         = {{2003}},
}

@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}},
}

@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{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}},
}

@article{39959,
  author       = {{Rösler, Margit and de Jeu, Marcel}},
  issn         = {{0021-9045}},
  journal      = {{Journal of Approximation Theory}},
  keywords     = {{Applied Mathematics, General Mathematics, Numerical Analysis, Analysis}},
  number       = {{1}},
  pages        = {{110--126}},
  publisher    = {{Elsevier BV}},
  title        = {{{Asymptotic Analysis for the Dunkl Kernel}}},
  doi          = {{10.1006/jath.2002.3722}},
  volume       = {{119}},
  year         = {{2002}},
}

@inbook{64716,
  author       = {{Glöckner, Helge}},
  booktitle    = {{Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15, 2000}},
  keywords     = {{58C20, 22E65, 46T20, 46T25}},
  pages        = {{43–59}},
  publisher    = {{Warszawa: Polish Academy of Sciences, Institute of Mathematics}},
  title        = {{{Infinite-dimensional Lie groups without completeness restrictions}}},
  year         = {{2002}},
}

@inbook{64715,
  author       = {{Glöckner, Helge and Winkelmann, Jörg}},
  booktitle    = {{Recent advances in Lie theory. Selected contributions to the 1st colloquium on Lie theory and applications, Vigo, Spain, July 2000}},
  isbn         = {{3-88538-225-3}},
  keywords     = {{22D05}},
  pages        = {{205–210}},
  publisher    = {{Lemgo: Heldermann Verlag}},
  title        = {{{A property of locally compact groups}}},
  year         = {{2002}},
}

@article{64717,
  author       = {{Glöckner, Helge}},
  issn         = {{1945-5844}},
  journal      = {{Pacific Journal of Mathematics}},
  keywords     = {{22A05, 20F40, 14L10, 20E10, 17B65, 22E60, 20E18, 22E65, 54H11}},
  number       = {{2}},
  pages        = {{321–368}},
  title        = {{{Real and p-adic Lie algebra functors on the category of topological groups.}}},
  doi          = {{10.2140/pjm.2002.203.321}},
  volume       = {{203}},
  year         = {{2002}},
}

@article{64714,
  author       = {{Glöckner, Helge}},
  issn         = {{0022-1236}},
  journal      = {{Journal of Functional Analysis}},
  keywords     = {{22E65}},
  number       = {{2}},
  pages        = {{347–409}},
  title        = {{{Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups}}},
  doi          = {{10.1006/jfan.2002.3942}},
  volume       = {{194}},
  year         = {{2002}},
}

@article{64721,
  author       = {{Glöckner, Helge}},
  issn         = {{0039-3223}},
  journal      = {{Studia Mathematica}},
  keywords     = {{22E65, 46E25, 46F05, 46H05, 46H30}},
  number       = {{2}},
  pages        = {{147–177}},
  title        = {{{Algebras whose groups of units are Lie groups}}},
  doi          = {{10.4064/sm153-2-4}},
  volume       = {{153}},
  year         = {{2002}},
}