\(\mathrm{BC}_2\)-type multivariable matrix functions and matrix spherical functions
DOI10.4171/PRIMS/60-2-2MaRDI QIDQ6618961
Publication date: 15 October 2024
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Lie groupsmatrix orthogonal polynomialsmultivariable functionsmatrix spherical functionsmultiplicity-free triples
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Other special orthogonal polynomials and functions (33C47) Orthogonal polynomials and functions associated with root systems (33C52) Matrix exponential and similar functions of matrices (15A16)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Matrix-valued orthogonal polynomials related to \((\mathrm{SU}(2) \times \mathrm{SU}(2), \mathrm{diag})\). II
- Asymptotic behavior of matrix coefficients of admissible representations
- Reducibility of matrix weights
- Orthogonal vs. non-orthogonal reducibility of matrix-valued measures
- Matrix valued spherical functions associated to the complex projective plane
- Matrix-valued Gegenbauer-type polynomials
- \(N\)-point spherical functions and asymptotic boundary KZB equations
- Matrix elements of irreducible representations of \(\mathrm{GL} (n + 1) \times\mathrm{GL} (n + 1)\) and multivariable matrix-valued orthogonal polynomials
- Multiplicity-free representations and visible actions on complex manifolds
- Invariant operators on higher K-types.
- Encyclopedia of Special Functions: The Askey-Bateman Project
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Matrix Elements of Irreducible Representations of $SU(2) \times SU(2)$ and Vector-Valued Orthogonal Polynomials
- Explicit decompositions of some tensor products of modules for simple complex lie algbras
- Orthogonal Polynomials in Two Variables. A Further Analysis of the Polynomials Orthogonal over a Region Bounded by Two Lines and a Parabola
- Elementary spherical functions on symmetric spaces.
- Multiplicity Free Induced Representations and Orthogonal Polynomials
- Matrix-Valued Orthogonal Polynomials Related to (SU(2)×SU(2), diag)
- Encyclopedia of Special Functions: The Askey-Bateman Project
- Lie groups beyond an introduction
- On the extended weight monoid of a spherical homogeneous space and its applications to spherical functions
This page was built for publication: \(\mathrm{BC}_2\)-type multivariable matrix functions and matrix spherical functions
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6618961)