A Note on the Peter-Weyl Theorem

Y. Bavuma; E. Stevenson; F. G. Russo

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arXiv · 2603.07105

A Note on the Peter-Weyl Theorem

Y. Bavuma·E. Stevenson·F. G. Russo

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Abstract

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.

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BibTeX RIS

Y. Bavuma, E. Stevenson, F. G. Russo. 2026-03-07. A Note on the Peter-Weyl Theorem. https://arxiv.org/abs/2603.07105

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