@article{39911,
  author       = {{Rösler, Margit and Remling, H.}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{18}},
  pages        = {{4200–4225}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform}}},
  doi          = {{10.1093/imrn/rnq239}},
  year         = {{2011}},
}

@article{39921,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0025-584X}},
  journal      = {{Mathematische Nachrichten}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{87--104}},
  publisher    = {{Wiley}},
  title        = {{{Limit theorems for radial random walks on p × q-matrices as p tends to infinity}}},
  doi          = {{10.1002/mana.200710235}},
  volume       = {{284}},
  year         = {{2011}},
}

@article{39924,
  author       = {{Rösler, Margit}},
  issn         = {{0022-1236}},
  journal      = {{Journal of Functional Analysis}},
  keywords     = {{Analysis}},
  number       = {{8}},
  pages        = {{2779--2800}},
  publisher    = {{Elsevier BV}},
  title        = {{{Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC}}},
  doi          = {{10.1016/j.jfa.2009.12.007}},
  volume       = {{258}},
  year         = {{2010}},
}

@inproceedings{39950,
  author       = {{Rösler, Margit}},
  booktitle    = {{Infinite Dimensional Harmonic Analysis IV}},
  pages        = {{ 255–271}},
  publisher    = {{World Scientific}},
  title        = {{{Convolution algebras for multivariable Bessel functions}}},
  doi          = {{10.1142/9789812832825_0017}},
  year         = {{2009}},
}

@article{39941,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{1815-0659}},
  journal      = {{Symmetry, Integrability and Geometry: Methods and Applications}},
  keywords     = {{Geometry and Topology, Mathematical Physics, Analysis}},
  number       = {{083}},
  pages        = {{9pp}},
  publisher    = {{SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}},
  title        = {{{A Limit Relation for Dunkl-Bessel Functions of Type A and B}}},
  doi          = {{10.3842/sigma.2008.083}},
  volume       = {{4}},
  year         = {{2008}},
}

@article{39947,
  author       = {{Rösler, Margit}},
  issn         = {{0010-437X}},
  journal      = {{Compositio Mathematica}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{03}},
  pages        = {{749--779}},
  publisher    = {{Wiley}},
  title        = {{{Bessel convolutions on matrix cones}}},
  doi          = {{10.1112/s0010437x06002594}},
  volume       = {{143}},
  year         = {{2007}},
}

@article{39948,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0167-8019}},
  journal      = {{Acta Applicandae Mathematicae}},
  keywords     = {{Applied Mathematics}},
  number       = {{1-2}},
  pages        = {{179--195}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts}}},
  doi          = {{10.1007/s10440-006-9035-4}},
  volume       = {{90}},
  year         = {{2006}},
}

@article{39951,
  author       = {{Rösler, Margit and Rauhut, Holger}},
  issn         = {{0176-4276}},
  journal      = {{Constructive Approximation}},
  keywords     = {{Computational Mathematics, General Mathematics, Analysis}},
  number       = {{2}},
  pages        = {{193--218}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Radial Multiresolution in Dimension Three}}},
  doi          = {{10.1007/s00365-004-0587-0}},
  volume       = {{22}},
  year         = {{2005}},
}

@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}},
}

@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{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}},
}

@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}},
}

@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{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}},
}

@article{40666,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  number       = {{1}},
  pages        = {{183–194}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{An uncertainty principle for Hankel transforms}}},
  volume       = {{127}},
  year         = {{1999}},
}

@article{40197,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{1-2}},
  pages        = {{337--351}},
  publisher    = {{Elsevier BV}},
  title        = {{{Biorthogonal polynomials associated with reflection groups and a formula of Macdonald}}},
  doi          = {{10.1016/s0377-0427(98)00168-x}},
  volume       = {{99}},
  year         = {{1998}},
}