@inproceedings{39949,
  author       = {{Rösler, Margit and VOIT, MICHAEL}},
  booktitle    = {{Infinite Dimensional Harmonic Analysis III}},
  pages        = {{ 249–264}},
  publisher    = {{World Scientific Publ.}},
  title        = {{{Deformations of convolution semigroups on commutative hypergroups}}},
  doi          = {{10.1142/9789812701503_0016}},
  year         = {{2005}},
}

@unpublished{64741,
  author       = {{Glöckner, Helge}},
  title        = {{{Finite order differentiability properties, fixed points and implicit functions over valued fields}}},
  year         = {{2005}},
}

@article{64700,
  author       = {{Glöckner, Helge}},
  issn         = {{0022-1236}},
  journal      = {{Journal of Functional Analysis}},
  keywords     = {{22E65, 22E35, 26E15, 26E20, 26E30, 46S10, 46T20, 58C20}},
  number       = {{2}},
  pages        = {{419–444}},
  title        = {{{Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth}}},
  doi          = {{10.1016/j.jfa.2005.06.023}},
  volume       = {{228}},
  year         = {{2005}},
}

@article{64702,
  author       = {{Glöckner, Helge}},
  issn         = {{0232-704X}},
  journal      = {{Annals of Global Analysis and Geometry}},
  keywords     = {{22E65, 26E15, 26E20, 46T20, 58C20}},
  number       = {{3}},
  pages        = {{227–255}},
  title        = {{{Conveniently Hölder homomorphisms are smooth in the convenient sense}}},
  doi          = {{10.1007/s10455-005-0040-z}},
  volume       = {{27}},
  year         = {{2005}},
}

@article{64704,
  author       = {{Glöckner, Helge}},
  issn         = {{0021-8693}},
  journal      = {{Journal of Algebra}},
  keywords     = {{22E50}},
  number       = {{1}},
  pages        = {{356–371}},
  title        = {{{Smooth Lie groups over local fields of positive characteristic need not be analytic}}},
  doi          = {{10.1016/j.jalgebra.2004.11.018}},
  volume       = {{285}},
  year         = {{2005}},
}

@article{64701,
  author       = {{Glöckner, Helge}},
  issn         = {{0017-0895}},
  journal      = {{Glasgow Mathematical Journal}},
  keywords     = {{22D05, 22D40, 22D45}},
  number       = {{2}},
  pages        = {{329–333}},
  title        = {{{Contraction groups for tidy automorphisms of totally disconnected groups}}},
  doi          = {{10.1017/S0017089505002557}},
  volume       = {{47}},
  year         = {{2005}},
}

@article{64703,
  author       = {{Glöckner, Helge}},
  issn         = {{0025-584X}},
  journal      = {{Mathematische Nachrichten}},
  keywords     = {{58D05, 22E65, 46F05, 46T20}},
  number       = {{9}},
  pages        = {{1025–1032}},
  title        = {{{Diff(R^n) as a Milnor-Lie group}}},
  doi          = {{10.1002/mana.200310288}},
  volume       = {{278}},
  year         = {{2005}},
}

@article{64699,
  author       = {{Glöckner, Helge}},
  issn         = {{0010-437X}},
  journal      = {{Compositio Mathematica}},
  keywords     = {{22E65, 26E15, 26E20, 26E30, 46T05}},
  number       = {{6}},
  pages        = {{1551–1577}},
  title        = {{{Fundamentals of direct limit Lie theory}}},
  doi          = {{10.1112/S0010437X05001491}},
  volume       = {{141}},
  year         = {{2005}},
}

@article{51409,
  author       = {{Hilgert, Joachim and Deitmar, A.}},
  journal      = {{Documenta Math.}},
  pages        = {{199--216}},
  title        = {{{Cohomology of Arithmetic Groups with Infinite Dimensional Coefficient Spaces}}},
  volume       = {{10}},
  year         = {{2005}},
}

@inbook{51469,
  author       = {{Hilgert, Joachim and Mayer, D.}},
  booktitle    = {{Complex Analysis and Dynamical Systems}},
  editor       = {{Agranowsky, M.}},
  title        = {{{The Dynamical Zeta Function and Transfer Operators for the Kac-Baker Model}}},
  volume       = {{364}},
  year         = {{2004}},
}

@unpublished{51548,
  author       = {{Hilgert, Joachim and Deitmar, A.}},
  title        = {{{The Lewis Correspondence for submodular groups}}},
  year         = {{2004}},
}

@article{40320,
  abstract     = {{In this note, a new proof for the positivity of Dunkl's intertwining operator in the crystallographic case is given. It is based on an asymptotic relationship between the Opdam-Cherednik kernel and the Dunkl kernel as recently observed by M. de Jeu, and on positivity results of S. Sahi for the Heckman-Opdam polynomials and their non-symmetric counterparts.}},
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  number       = {{63}},
  pages        = {{3379–3389}},
  publisher    = {{Oxford University Press}},
  title        = {{{Positivity of Dunkl's intertwining operator via the trigonometric setting}}},
  doi          = {{10.48550/ARXIV.MATH/0405368}},
  year         = {{2004}},
}

@inbook{64708,
  author       = {{Glöckner, Helge}},
  booktitle    = {{Infinite dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004.}},
  isbn         = {{3-11-018186-X}},
  keywords     = {{22E65, 22E67, 46H05, 46T25}},
  pages        = {{1–16}},
  publisher    = {{Berlin: de Gruyter}},
  title        = {{{Lie groups of germs of analytic mappings}}},
  year         = {{2004}},
}

@unpublished{64743,
  author       = {{Glöckner, Helge}},
  title        = {{{Lie groups over non-discrete topological fields}}},
  year         = {{2004}},
}

@article{64707,
  author       = {{Bertram, W. and Glöckner, Helge and Neeb, K.-H.}},
  issn         = {{0723-0869}},
  journal      = {{Expositiones Mathematicae}},
  keywords     = {{58C20, 22E65, 26E15, 26E20, 26E30}},
  number       = {{3}},
  pages        = {{213–282}},
  title        = {{{Differential calculus over general base fields and rings.}}},
  doi          = {{10.1016/S0723-0869(04)80006-9}},
  volume       = {{22}},
  year         = {{2004}},
}

@article{64705,
  author       = {{Glöckner, Helge}},
  issn         = {{0010-2628}},
  journal      = {{Commentationes Mathematicae Universitatis Carolinae}},
  keywords     = {{46A32, 46A16, 22A05}},
  number       = {{4}},
  pages        = {{607–614}},
  title        = {{{Tensor products in the category of topological vector spaces are not associative.}}},
  volume       = {{45}},
  year         = {{2004}},
}

@article{64706,
  author       = {{Glöckner, Helge}},
  issn         = {{0146-4124}},
  journal      = {{Topology Proceedings}},
  keywords     = {{58C20, 46G05, 26E20, 46A16, 46G20}},
  number       = {{2}},
  pages        = {{479–486}},
  title        = {{{Examples of differentiable mappings into non-locally convex spaces.}}},
  volume       = {{28}},
  year         = {{2004}},
}

@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}},
}