@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}},
}

@article{40200,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0196-8858}},
  journal      = {{Advances in Applied Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{4}},
  pages        = {{575--643}},
  publisher    = {{Elsevier BV}},
  title        = {{{Markov Processes Related with Dunkl Operators}}},
  doi          = {{10.1006/aama.1998.0609}},
  volume       = {{21}},
  year         = {{1998}},
}

@article{40205,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0022-247X}},
  journal      = {{Journal of Mathematical Analysis and Applications}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{2}},
  pages        = {{624--634}},
  publisher    = {{Elsevier BV}},
  title        = {{{An Uncertainty Principle for Ultraspherical Expansions}}},
  doi          = {{10.1006/jmaa.1997.5386}},
  volume       = {{209}},
  year         = {{1997}},
}

@inproceedings{40655,
  author       = {{Rösler, Margit}},
  booktitle    = {{Probability measures on groups and related structures XI (Oberwolfach 1994)}},
  pages        = {{292--304}},
  publisher    = {{World Scientific}},
  title        = {{{Bessel-type signed hypergroups on R}}},
  year         = {{1995}},
}

@inproceedings{40209,
  author       = {{Rösler, Margit}},
  booktitle    = {{Applications of Hypergroups and Related Measure Algebras}},
  issn         = {{1098-3627}},
  pages        = {{299–318}},
  publisher    = {{American Mathematical Society}},
  title        = {{{Convolution algebras which are not necessarily positivity-preserving}}},
  doi          = {{10.1090/conm/183/02068}},
  volume       = {{183}},
  year         = {{1995}},
}

@article{40207,
  author       = {{Rösler, Margit}},
  issn         = {{0377-0427}},
  journal      = {{Journal of Computational and Applied Mathematics}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{1-3}},
  pages        = {{357--368}},
  publisher    = {{Elsevier BV}},
  title        = {{{Trigonometric convolution structures on Z derived from Jacobi polynomials}}},
  doi          = {{10.1016/0377-0427(95)00122-0}},
  volume       = {{65}},
  year         = {{1995}},
}

@article{40208,
  author       = {{Rösler, Margit}},
  issn         = {{0025-2611}},
  journal      = {{Manuscripta Mathematica}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{147--163}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{On the dual of a commutative signed hypergroup}}},
  doi          = {{10.1007/bf02567812}},
  volume       = {{88}},
  year         = {{1995}},
}

@article{40216,
  author       = {{Lasser, R. and Rösler, Margit}},
  issn         = {{0003-889X}},
  journal      = {{Archiv der Mathematik}},
  keywords     = {{General Mathematics}},
  number       = {{5}},
  pages        = {{459--463}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{A note on property (T) of orthogonal polynomials}}},
  doi          = {{10.1007/bf01202312}},
  volume       = {{60}},
  year         = {{1993}},
}

@phdthesis{54832,
  author       = {{Rösler, Margit}},
  title        = {{{Durch orthogonale trigonometrische Systeme auf dem Einheitskreis induzierte Faltunsstrukturen auf Z}}},
  year         = {{1992}},
}

@inproceedings{40656,
  author       = {{Rösler, Margit}},
  booktitle    = {{Orthogonal polynomials and their applications (Erice, 1990)}},
  pages        = {{373–378}},
  publisher    = {{IMACS Ann. Comput. Appl. Math., 9,}},
  title        = {{{On optimal linear mean estimators for weakly stationary stochastic processes}}},
  year         = {{1991}},
}

@article{40218,
  author       = {{Lasser, R. and Rösler, Margit}},
  issn         = {{0304-4149}},
  journal      = {{Stochastic Processes and their Applications}},
  keywords     = {{Applied Mathematics, Modeling and Simulation, Statistics and Probability}},
  number       = {{2}},
  pages        = {{279--293}},
  publisher    = {{Elsevier BV}},
  title        = {{{Linear mean estimation of weakly stationary stochastic processes under the aspects of optimality and asymptotic optimality}}},
  doi          = {{10.1016/0304-4149(91)90095-t}},
  volume       = {{38}},
  year         = {{1991}},
}