@article{40053,
author = {{Graczyk, P. and Luks, Tomasz and Sawyer, P.}},
issn = {{0008-414X}},
journal = {{Canadian Journal of Mathematics}},
number = {{4}},
pages = {{1005--1033}},
publisher = {{Canadian Mathematical Society}},
title = {{{Potential kernels for radial Dunkl Laplacians}}},
doi = {{10.4153/s0008414x21000195}},
volume = {{74}},
year = {{2022}},
}
@article{36271,
author = {{Brennecken, Dominik and Hilgert, Joachim and Ciardo, Lorenzo}},
journal = {{Journal of Lie Theory}},
number = {{2}},
pages = {{459----468}},
publisher = {{Heldermann Verlag}},
title = {{{Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)}}},
doi = {{10.48550/arXiv.2008.07479}},
volume = {{31}},
year = {{2021}},
}
@article{37659,
author = {{Rösler, Margit and Voit, Michael}},
issn = {{0002-9939}},
journal = {{Proceedings of the American Mathematical Society}},
keywords = {{Applied Mathematics, General Mathematics}},
number = {{3}},
pages = {{1151--1163}},
publisher = {{American Mathematical Society (AMS)}},
title = {{{Positive intertwiners for Bessel functions of type B}}},
doi = {{10.1090/proc/15312}},
volume = {{149}},
year = {{2021}},
}
@article{37660,
author = {{Rösler, Margit}},
issn = {{0022-1236}},
journal = {{Journal of Functional Analysis}},
keywords = {{Analysis}},
number = {{12}},
publisher = {{Elsevier BV}},
title = {{{Riesz distributions and Laplace transform in the Dunkl setting of type A}}},
doi = {{10.1016/j.jfa.2020.108506}},
volume = {{278}},
year = {{2020}},
}
@article{40051,
author = {{Luks, Tomasz and Xiao, Yimin}},
issn = {{0894-9840}},
journal = {{Journal of Theoretical Probability}},
number = {{1}},
pages = {{153--179}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Multiple Points of Operator Semistable Lévy Processes}}},
doi = {{10.1007/s10959-018-0859-4}},
volume = {{33}},
year = {{2020}},
}
@article{37661,
author = {{Rösler, Margit and Voit, Michael}},
issn = {{0022-2526}},
journal = {{Studies in Applied Mathematics}},
keywords = {{Applied Mathematics}},
number = {{4}},
pages = {{474--500}},
publisher = {{Wiley}},
title = {{{Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones}}},
doi = {{10.1111/sapm.12217}},
volume = {{141}},
year = {{2018}},
}
@article{37662,
author = {{Rösler, Margit and Graczyk, Piotr and Luks, Tomasz}},
issn = {{0926-2601}},
journal = {{Potential Analysis}},
keywords = {{Analysis}},
number = {{3}},
pages = {{337--360}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On the Green Function and Poisson Integrals of the Dunkl Laplacian}}},
doi = {{10.1007/s11118-017-9638-6}},
volume = {{48}},
year = {{2018}},
}
@article{40050,
author = {{Baeumer, Boris and Luks, Tomasz and Meerschaert, Mark M.}},
issn = {{0025-584X}},
journal = {{Mathematische Nachrichten}},
keywords = {{General Mathematics}},
number = {{17-18}},
pages = {{2516--2535}},
publisher = {{Wiley}},
title = {{{Space‐time fractional Dirichlet problems}}},
doi = {{10.1002/mana.201700111}},
volume = {{291}},
year = {{2018}},
}
@article{40065,
author = {{Luks, Tomasz and Xiao, Yimin}},
issn = {{0894-9840}},
journal = {{Journal of Theoretical Probability}},
number = {{1}},
pages = {{297--325}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On the Double Points of Operator Stable Lévy Processes}}},
doi = {{10.1007/s10959-015-0638-4}},
volume = {{30}},
year = {{2017}},
}
@article{38032,
author = {{Rösler, Margit and Voit, Michael}},
issn = {{1088-6850}},
journal = {{Transactions of the American Mathematical Society}},
number = {{8}},
pages = {{6005--6032}},
publisher = {{ American Mathematical Society}},
title = {{{Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC}}},
doi = {{10.48550/ARXIV.1402.5793}},
volume = {{368}},
year = {{2016}},
}
@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}},
}