@article{51416,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{J. Geometric Analysis}},
  pages        = {{43--75}},
  title        = {{{Vector Valued Riesz Distributions on Euclidian Jordan Algebras}}},
  volume       = {{11}},
  year         = {{2001}},
}

@article{51414,
  author       = {{Hilgert, Joachim and Bertram, W.}},
  journal      = {{Univ. Brasov Ser.}},
  pages        = {{7--18}},
  title        = {{{Geometry of Symmetric Spaces via Jordan Structures. Bull. Transsilv}}},
  volume       = {{8}},
  year         = {{2001}},
}

@article{51418,
  author       = {{Hilgert, Joachim and Krötz, B.}},
  journal      = {{Math. Zeitschrift}},
  pages        = {{61--83}},
  title        = {{{The Plancherel Theorem for Invariant Hilbert Spaces}}},
  volume       = {{237}},
  year         = {{2001}},
}

@misc{51598,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Math. Reviews}},
  title        = {{{Berenstein, C., D.-C. Chang, J. Tie. Laguerre Calculus and its Applications on the Heisenberg Group (AMS, International Press, 2001)}}},
  year         = {{2001}},
}

@inbook{64723,
  author       = {{Glöckner, Helge and Neeb, Karl-Hermann}},
  booktitle    = {{Nuclear groups and Lie groups. Selected lectures of the workshop, Madrid, Spain, September 1999}},
  isbn         = {{3-88538-224-5}},
  keywords     = {{22A05, 22A10, 46L99}},
  pages        = {{163–185}},
  publisher    = {{Lemgo: Heldermann Verlag}},
  title        = {{{Minimally almost periodic Abelian groups and commutative W^*-algebras}}},
  year         = {{2001}},
}

@article{64725,
  author       = {{Glöckner, Helge and Willis, George A.}},
  issn         = {{0933-7741}},
  journal      = {{Forum Mathematicum}},
  keywords     = {{22E20, 20F50, 20E08}},
  number       = {{3}},
  pages        = {{413–421}},
  title        = {{{Uniscalar p-adic Lie groups}}},
  doi          = {{10.1515/form.2001.015}},
  volume       = {{13}},
  year         = {{2001}},
}

@article{64724,
  author       = {{Glöckner, Helge}},
  issn         = {{0026-9255}},
  journal      = {{Monatshefte für Mathematik}},
  keywords     = {{43A35, 15B48}},
  number       = {{4}},
  pages        = {{303–324}},
  title        = {{{Functions operating on positive semidefinite quaternionic matrices}}},
  doi          = {{10.1007/s006050170036}},
  volume       = {{132}},
  year         = {{2001}},
}

@article{51419,
  author       = {{Hilgert, Joachim and Bertram, W.}},
  journal      = {{Michigan Math. J.}},
  pages        = {{235--263}},
  title        = {{{Geometric Hardy and Bergman Spaces}}},
  volume       = {{47}},
  year         = {{2000}},
}

@book{51592,
  editor       = {{Hilgert, Joachim and Doebner, H.-D. and Dobrev, V. K.}},
  publisher    = {{World Scientific}},
  title        = {{{Lie Theory and its Applcations in Physics III}}},
  year         = {{2000}},
}

@inproceedings{40652,
  author       = {{Rösler, Margit}},
  booktitle    = {{Infinite dimensional harmonic analysis (Kyoto 1999)}},
  pages        = {{290--305}},
  publisher    = {{Gräbner-Verlag}},
  title        = {{{One-parameter semigroups related to abstract quantum models of Calogero type}}},
  year         = {{2000}},
}

@inproceedings{40172,
  author       = {{Rösler, Margit}},
  booktitle    = {{Special Functions (HongKong 1999)}},
  pages        = {{309--323}},
  publisher    = {{World Scientific}},
  title        = {{{Short-time estimates for heat kernels associated with root systems}}},
  doi          = {{10.1142/9789812792303_0024}},
  year         = {{2000}},
}

@article{64726,
  author       = {{Glöckner, Helge}},
  issn         = {{0037-1912}},
  journal      = {{Semigroup Forum}},
  keywords     = {{43A35, 44A10, 43A65, 47B15}},
  number       = {{2}},
  pages        = {{326–333}},
  title        = {{{Representations of cones and conelike semigroups}}},
  doi          = {{10.1007/s002339910025}},
  volume       = {{60}},
  year         = {{2000}},
}

@article{51422,
  author       = {{Hilgert, Joachim and Krötz, B.}},
  journal      = {{J. Funct. Anal.}},
  pages        = {{357--390}},
  title        = {{{Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces}}},
  volume       = {{169}},
  year         = {{1999}},
}

@misc{51581,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{JBer. DMV}},
  title        = {{{Guillemin, V., E. Lerman, S. Sternberg. Symplectic fibration and Multiplicity Diagrams   (Cambridge University Press, 1996)}}},
  volume       = {{101}},
  year         = {{1999}},
}

@article{51424,
  author       = {{Hilgert, Joachim and Neumann , A. and Ólafsson, G.}},
  journal      = {{Math. Annalen}},
  pages        = {{785--791}},
  title        = {{{A Conjugacy Theorem for Symmetric Spaces}}},
  volume       = {{313}},
  year         = {{1999}},
}

@article{51423,
  author       = {{Hilgert, Joachim and Krötz, B.}},
  journal      = {{Manus. Math.}},
  pages        = {{151--180}},
  title        = {{{Weighted Bergman Spaces Associated to Causal Symmetric Spaces}}},
  volume       = {{99}},
  year         = {{1999}},
}

@article{51421,
  author       = {{Hilgert, Joachim and Neeb, K.-H.}},
  journal      = {{Trans. AMS.}},
  pages        = {{1345--1380}},
  title        = {{{Positive Definite Spherical Functions on Olshanskii Domains}}},
  volume       = {{352}},
  year         = {{1999}},
}

@article{40184,
  abstract     = {{<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>}},
  author       = {{Rösler, Margit}},
  issn         = {{0004-9727}},
  journal      = {{Bulletin of the Australian Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{353--360}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{An uncertainty principle for the Dunkl transform}}},
  doi          = {{10.1017/s0004972700033025}},
  volume       = {{59}},
  year         = {{1999}},
}

@article{40189,
  author       = {{Rösler, Margit}},
  issn         = {{0012-7094}},
  journal      = {{Duke Mathematical Journal}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{445--463}},
  publisher    = {{Duke University Press}},
  title        = {{{Positivity of Dunkl’s intertwining operator}}},
  doi          = {{10.1215/s0012-7094-99-09813-7}},
  volume       = {{98}},
  year         = {{1999}},
}

@article{40192,
  abstract     = {{<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>}},
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0008-414X}},
  journal      = {{Canadian Journal of Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{96--116}},
  publisher    = {{Canadian Mathematical Society}},
  title        = {{{Partial Characters and Signed Quotient Hypergroups}}},
  doi          = {{10.4153/cjm-1999-006-6}},
  volume       = {{51}},
  year         = {{1999}},
}

