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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.05363 |
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| _version_ | 1866916792878759936 |
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| author | Kobayashi, Toshiyuki Pevzner, Michael |
| author_facet | Kobayashi, Toshiyuki Pevzner, Michael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A short proof for Rankin--Cohen brackets and generating operators Kobayashi, Toshiyuki Pevzner, Michael Representation Theory Classical Analysis and ODEs Number Theory 47B38, Secondary 11F11, 22E45, 32A27, 30H10, 33C45, 43A85 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. |
| title | A short proof for Rankin--Cohen brackets and generating operators |
| topic | Representation Theory Classical Analysis and ODEs Number Theory 47B38, Secondary 11F11, 22E45, 32A27, 30H10, 33C45, 43A85 |
| url | https://arxiv.org/abs/2402.05363 |