An approach to harmonic analysis on non-locally compact groups I: level structures over locally compact groups

Raven Waller

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arXiv · 1902.02909

An approach to harmonic analysis on non-locally compact groups I: level structures over locally compact groups

Raven Waller

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Abstract

We define a class of spaces on which one may generalise the notion of compactness following motivating examples from higher-dimensional number theory. We establish analogues of several well-known topological results (such as Tychonoff's Theorem) for such spaces. We also discuss several possible applications of this framework, including the theory of harmonic analysis on non-locally compact groups.

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Raven Waller. 2019-02-08. An approach to harmonic analysis on non-locally compact groups I: level structures over locally compact groups. https://arxiv.org/abs/1902.02909

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