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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.07105 |
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| _version_ | 1866910044968189952 |
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| author | Bavuma, Y. Stevenson, E. Russo, F. G. |
| author_facet | Bavuma, Y. Stevenson, E. Russo, F. G. |
| contents | We introduce some classical concepts in the representation theory of compact groups, in order to use them for a new generalization of the Peter-Weyl Theorem. We mostly deal with functions on locally compact groups possessing large nontrivial compact open subgroups: in fact, we show that these functions can be approximated via others which are locally identical to the well known representative functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07105 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Note on the Peter-Weyl Theorem Bavuma, Y. Stevenson, E. Russo, F. G. Representation Theory Mathematical Physics General Topology Group Theory 22A10, 22D10, 42A20, 22E35 We introduce some classical concepts in the representation theory of compact groups, in order to use them for a new generalization of the Peter-Weyl Theorem. We mostly deal with functions on locally compact groups possessing large nontrivial compact open subgroups: in fact, we show that these functions can be approximated via others which are locally identical to the well known representative functions. |
| title | A Note on the Peter-Weyl Theorem |
| topic | Representation Theory Mathematical Physics General Topology Group Theory 22A10, 22D10, 42A20, 22E35 |
| url | https://arxiv.org/abs/2603.07105 |