Positive definite functions on a regular domain
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866911743614124032 |
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| author | Buhmann, Martin Xu, Yuan |
| author_facet | Buhmann, Martin Xu, Yuan |
| contents | We define positive and strictly positive definite functions on a domain and study these functions on a list of regular domains. The list includes the unit ball, conic surface, hyperbolic surface, solid hyperboloid, and simplex. Each of these domains is embedded in a quadrant or a union of quadrants of the unit sphere by a distance preserving map, from which characterizations of positive definite and strictly positive definite functions are derived for these regular domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_05696 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Positive definite functions on a regular domain Buhmann, Martin Xu, Yuan Classical Analysis and ODEs Numerical Analysis 33B10, 41A05, 41A63 We define positive and strictly positive definite functions on a domain and study these functions on a list of regular domains. The list includes the unit ball, conic surface, hyperbolic surface, solid hyperboloid, and simplex. Each of these domains is embedded in a quadrant or a union of quadrants of the unit sphere by a distance preserving map, from which characterizations of positive definite and strictly positive definite functions are derived for these regular domains. |
| title | Positive definite functions on a regular domain |
| topic | Classical Analysis and ODEs Numerical Analysis 33B10, 41A05, 41A63 |
| url | https://arxiv.org/abs/2204.05696 |