Segal-Bargmann transform for generalized partial-slice monogenic functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911338040655872 |
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| author | Xu, Zhenghua Sabadini, Irene |
| author_facet | Xu, Zhenghua Sabadini, Irene |
| contents | The concept of generalized partial-slice monogenic functions has been recently introduced to include the two theories of monogenic functions and of slice monogenic functions over Clifford algebras. The main purpose of this article is to develop the Segal-Bargmann transform and give a Schrödinger representation in the setting of generalized partial-slice monogenic functions. To this end, the generalized partial-slice Cauchy-Kovalevskaya extension plays a crucial role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Segal-Bargmann transform for generalized partial-slice monogenic functions Xu, Zhenghua Sabadini, Irene Complex Variables Primary: 30G35, Secondary: 44A15, 30H20 The concept of generalized partial-slice monogenic functions has been recently introduced to include the two theories of monogenic functions and of slice monogenic functions over Clifford algebras. The main purpose of this article is to develop the Segal-Bargmann transform and give a Schrödinger representation in the setting of generalized partial-slice monogenic functions. To this end, the generalized partial-slice Cauchy-Kovalevskaya extension plays a crucial role. |
| title | Segal-Bargmann transform for generalized partial-slice monogenic functions |
| topic | Complex Variables Primary: 30G35, Secondary: 44A15, 30H20 |
| url | https://arxiv.org/abs/2410.21650 |