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arXiv · 2402.05363

A short proof for Rankin--Cohen brackets and generating operators

Toshiyuki Kobayashi·Michael Pevzner
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Abstract

Motivated by the concept of "generating operators" for a countable family of operators introduced in the recent paper (arXiv:2306.16800), we find a method to reconstruct the Rankin--Cohen brackets from a very simple multivariable contour integral, and obtain a new proof of their covariance. We also establish a closed formula of the "generating operator" for the Rankin--Cohen brackets in full generality.

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Toshiyuki Kobayashi, Michael Pevzner. 2024-02-08. A short proof for Rankin--Cohen brackets and generating operators. https://doi.org/10.1007/978-981-97-6453-2_1

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