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arXiv · 2003.06133

Rankin-Cohen brackets on tube-type domains

Jean-Louis Clerc
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Abstract

A new formula is obtained for the holomorphic bi-differential operators on tube-type domains which are associated to the decomposition of the tensor product of two scalar holomorphic representations, thus generalizing the classical Rankin-Cohen brackets. The formula involves a family of polynomials of several variables which may be considered as a (weak) generalization of the classical Jacobi polynomials.

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BibTeXRIS

Jean-Louis Clerc. 2020-03-13. Rankin-Cohen brackets on tube-type domains. https://doi.org/10.2140/tunis.2021.3.551

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