A generating operator for Rankin-Cohen brackets
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916792835768320 |
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| author | Kobayashi, Toshiyuki Pevzner, Michael |
| author_facet | Kobayashi, Toshiyuki Pevzner, Michael |
| contents | Motivated by the classical ideas of generating functions for orthogonal polynomials, we initiate a new line of investigation on "generating operators" for a family of differential operators between two manifolds. We prove a novel formula of the generating operators for the Rankin-Cohen brackets by using higher-dimensional residue calculus. Various results on the generating operators are also explored from the perspective of infinite-dimensional representation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16800 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A generating operator for Rankin-Cohen brackets Kobayashi, Toshiyuki Pevzner, Michael Complex Variables Representation Theory Primary 22E45, 47B38 Secondary 11F11, 32A27, 30H10, 33C45, 43A85 Motivated by the classical ideas of generating functions for orthogonal polynomials, we initiate a new line of investigation on "generating operators" for a family of differential operators between two manifolds. We prove a novel formula of the generating operators for the Rankin-Cohen brackets by using higher-dimensional residue calculus. Various results on the generating operators are also explored from the perspective of infinite-dimensional representation theory. |
| title | A generating operator for Rankin-Cohen brackets |
| topic | Complex Variables Representation Theory Primary 22E45, 47B38 Secondary 11F11, 32A27, 30H10, 33C45, 43A85 |
| url | https://arxiv.org/abs/2306.16800 |