Spherical functions on spheres of rank two

DOI10.4064/bc113-0-19zbMath1387.43010OpenAlexW2791805988MaRDI QIDQ4634635

Maarten Van Pruijssen

Publication date: 10 April 2018

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc113-0-19

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Harmonic analysis and spherical functions (43A90)

Uses Software

• GAP

Cites Work

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• Matrix valued orthogonal polynomials for Gelfand pairs of rank one
• Harmonic analysis on spherical homogeneous spaces with solvable stabilizer
• On spherical expansions of smooth \(\mathrm{SU}(n)\)-zonal functions on the unit sphere in \(\mathbb C^n\)
• Valuations des espaces homogènes sphériques. (Valuations of spherical homogeneous spaces)
• Homogeneous spaces and equivariant embeddings
• A multivariate version of the disk convolution
• Matrix-valued Gegenbauer-type polynomials
• A Harish-Chandra homomorphism for reductive group actions
• Matrix elements of irreducible representations of \(\mathrm{GL} (n + 1) \times\mathrm{GL} (n + 1)\) and multivariable matrix-valued orthogonal polynomials
• Matrix valued classical pairs related to compact Gelfand pairs of rank one
• Strongly solvable spherical subgroups and their combinatorial invariants
• Multiplicity Free Induced Representations and Orthogonal Polynomials
• The spherical systems of the wonderful reductive subgroups
• Lie groups beyond an introduction

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