Whitney extensions on symmetric spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915411751075840 |
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| author | Speh, Birgit Uttenthal, Peter Vang |
| author_facet | Speh, Birgit Uttenthal, Peter Vang |
| contents | In 1934, H. Whitney introduced the problem of extending a function on a set of points in $\mathbb{R}^n$ to an analytic function on the ambient space. In this article we prove Whitney type extension theorems for data on some homogeneous spaces. We use harmonic analysis on the homogeneous spaces and representation theory of compact as well as noncompact reductive groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Whitney extensions on symmetric spaces Speh, Birgit Uttenthal, Peter Vang Representation Theory Machine Learning 22E46, 68T05 In 1934, H. Whitney introduced the problem of extending a function on a set of points in $\mathbb{R}^n$ to an analytic function on the ambient space. In this article we prove Whitney type extension theorems for data on some homogeneous spaces. We use harmonic analysis on the homogeneous spaces and representation theory of compact as well as noncompact reductive groups. |
| title | Whitney extensions on symmetric spaces |
| topic | Representation Theory Machine Learning 22E46, 68T05 |
| url | https://arxiv.org/abs/2407.21420 |