Rankin-Cohen brackets on tube-type domains

DOI10.2140/TUNIS.2021.3.551zbMath1505.22006arXiv2003.06133OpenAlexW3010701411MaRDI QIDQ2044224

Jean-Louis Clerc

Publication date: 4 August 2021

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

Full work available at URL: https://arxiv.org/abs/2003.06133

zbMATH Keywords

Rankin-Cohen bracketholomorphic discrete seriestube type domain

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (1)

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

Cites Work

• Symmetry breaking differential operators, the source operator and Rodrigues formulae
• Hankel forms of arbitrary weight over a symmetric domain via the transvectant
• Tensor products of holomorphic representations and bilinear differential operators
• Inversion of Rankin-Cohen operators via holographic transform
• Tensor Products of Holomorphic Discrete Series Representations
• Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra

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