Holographic transform for tensor product of holomorphic discrete series

DOI10.1142/S0129167X20500901MaRDI QIDQ5130987

Quentin Labriet

Publication date: 31 October 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14012

zbMATH Keywords

orthogonal polynomialssymmetry breakingbranching rulesholographic transformrelative reproducing kernel

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (1)

A geometrical point of view for branching problems for holomorphic discrete series of conformal Lie groups

Cites Work

• Differential symmetry breaking operators. I: General theory and F-method
• Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs
• Inversion of Rankin-Cohen operators via holographic transform
• Multivariable Orthogonal Polynomials and Coupling Coefficients for Discrete Series Representations
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