Multivariate Bessel functions and multivariate Hankel transforms
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910656651853824 |
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| author | Zakharov, Victor G. |
| author_facet | Zakharov, Victor G. |
| contents | The generalization, similarly to exponential multivariate bases in the Fourier transform, of the Bessel functions to many dimensions is offered. Analogously to the Fourier transform property under the differentiation, the similar Hankel transform property is extended to many dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14304 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multivariate Bessel functions and multivariate Hankel transforms Zakharov, Victor G. Classical Analysis and ODEs Functional Analysis 33C10, 33C50, 33B10 The generalization, similarly to exponential multivariate bases in the Fourier transform, of the Bessel functions to many dimensions is offered. Analogously to the Fourier transform property under the differentiation, the similar Hankel transform property is extended to many dimensions. |
| title | Multivariate Bessel functions and multivariate Hankel transforms |
| topic | Classical Analysis and ODEs Functional Analysis 33C10, 33C50, 33B10 |
| url | https://arxiv.org/abs/2410.14304 |