@article{37663,
author = {{Rösler, Margit and Voit, Michael}},
issn = {{0022-247X}},
journal = {{Journal of Mathematical Analysis and Applications}},
keywords = {{Applied Mathematics, Analysis}},
number = {{1}},
pages = {{701--717}},
publisher = {{Elsevier BV}},
title = {{{A multivariate version of the disk convolution}}},
doi = {{10.1016/j.jmaa.2015.10.062}},
volume = {{435}},
year = {{2016}},
}
@article{40066,
author = {{Bañuelos, Rodrigo and Bogdan, Krzysztof and Luks, Tomasz}},
issn = {{0024-6107}},
journal = {{Journal of the London Mathematical Society}},
keywords = {{General Mathematics}},
number = {{2}},
pages = {{462--478}},
publisher = {{Wiley}},
title = {{{Hardy–Stein identities and square functions for semigroups}}},
doi = {{10.1112/jlms/jdw042}},
volume = {{94}},
year = {{2016}},
}
@article{38037,
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 = {{013}},
pages = {{18pp}},
publisher = {{SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}},
title = {{{A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian}}},
doi = {{10.3842/sigma.2015.013}},
volume = {{11}},
year = {{2015}},
}
@article{37667,
author = {{Rösler, Margit and Remling, Heiko}},
issn = {{0021-9045}},
journal = {{Journal of Approximation Theory}},
keywords = {{Applied Mathematics, General Mathematics, Numerical Analysis, Analysis}},
pages = {{30--48}},
publisher = {{Elsevier BV}},
title = {{{Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians}}},
doi = {{10.1016/j.jat.2014.07.005}},
volume = {{197}},
year = {{2014}},
}
@article{40068,
author = {{Bogdan, Krzysztof and Dyda, Bartłomiej and Luks, Tomasz}},
issn = {{0018-2079}},
journal = {{Hiroshima Mathematical Journal}},
number = {{2}},
pages = {{193--215}},
publisher = {{Hiroshima University - Department of Mathematics}},
title = {{{On Hardy spaces of local and nonlocal operators}}},
doi = {{10.32917/hmj/1408972907}},
volume = {{44}},
year = {{2014}},
}
@article{37672,
abstract = {{AbstractLet ${F}_{BC} (\lambda , k; t)$ be the Heckman–Opdam hypergeometric function of type BC with multiplicities $k= ({k}_{1} , {k}_{2} , {k}_{3} )$ and weighted half-sum $\rho (k)$ of positive roots. We prove that ${F}_{BC} (\lambda + \rho (k), k; t)$ converges as ${k}_{1} + {k}_{2} \rightarrow \infty $ and ${k}_{1} / {k}_{2} \rightarrow \infty $ to a function of type A for $t\in { \mathbb{R} }^{n} $ and $\lambda \in { \mathbb{C} }^{n} $. This limit is obtained from a corresponding result for Jacobi polynomials of type BC, which is proven for a slightly more general limit behavior of the multiplicities, using an explicit representation of Jacobi polynomials in terms of Jack polynomials. Our limits include limit transitions for the spherical functions of non-compact Grassmann manifolds over one of the fields $ \mathbb{F} = \mathbb{R} , \mathbb{C} , \mathbb{H} $ when the rank is fixed and the dimension tends to infinity. The limit functions turn out to be exactly the spherical functions of the corresponding infinite-dimensional Grassmann manifold in the sense of Olshanski.}},
author = {{Rösler, Margit and Koornwinder, Tom and Voit, Michael}},
issn = {{0010-437X}},
journal = {{Compositio Mathematica}},
keywords = {{Algebra and Number Theory}},
number = {{8}},
pages = {{1381--1400}},
publisher = {{Wiley}},
title = {{{Limit transition between hypergeometric functions of type BC and type A}}},
doi = {{10.1112/s0010437x13007045}},
volume = {{149}},
year = {{2013}},
}
@article{38038,
author = {{Rösler, Margit and Voit, Michael}},
journal = {{Journal of Lie Theory 23}},
number = {{4}},
pages = {{899----920}},
publisher = {{Heldermann }},
title = {{{Olshanski spherical functions for infinite dimensional motion groups of fixed rank}}},
doi = {{10.48550/ARXIV.1210.1351}},
year = {{2013}},
}
@article{40072,
author = {{Luks, Tomasz}},
issn = {{0926-2601}},
journal = {{Potential Analysis}},
number = {{1}},
pages = {{29--67}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane}}},
doi = {{10.1007/s11118-012-9321-x}},
volume = {{39}},
year = {{2013}},
}
@article{40070,
author = {{Graczyk, Piotr and Jakubowski, Tomasz and Luks, Tomasz}},
issn = {{1385-1292}},
journal = {{Positivity}},
number = {{4}},
pages = {{1043--1070}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation}}},
doi = {{10.1007/s11117-012-0220-6}},
volume = {{17}},
year = {{2013}},
}
@article{40073,
author = {{Luks, Tomasz}},
issn = {{0039-3223}},
journal = {{Studia Mathematica}},
number = {{1}},
pages = {{39--62}},
publisher = {{Institute of Mathematics, Polish Academy of Sciences}},
title = {{{Hardy spaces for the Laplacian with lower order perturbations}}},
doi = {{10.4064/sm204-1-3}},
volume = {{204}},
year = {{2011}},
}
@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}},
}