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2021 Rankin–Cohen brackets on tube-type domains
Jean-Louis Clerc
Tunisian J. Math. 3(3): 551-569 (2021). DOI: 10.2140/tunis.2021.3.551

Abstract

A new formula is obtained for the holomorphic bidifferential 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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Jean-Louis Clerc. "Rankin–Cohen brackets on tube-type domains." Tunisian J. Math. 3 (3) 551 - 569, 2021. https://doi.org/10.2140/tunis.2021.3.551

Information

Received: 12 March 2020; Revised: 26 March 2020; Accepted: 23 July 2020; Published: 2021
First available in Project Euclid: 25 June 2021

Digital Object Identifier: 10.2140/tunis.2021.3.551

Subjects:
Primary: 22E46
Secondary: 32M15, 33C45

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.3 • No. 3 • 2021
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