By Hans Reiter
Those notes provide an account of modern paintings in harmonic research facing the analytical foundations of A. Weil's concept of metaplectic teams. it really is proven that Weil's major theorem holds for a category of capabilities (a sure Segal algebra) higher than that of the Schwartz-Bruhat features thought of via Weil. the theory is derived the following from a few common effects approximately this type which appears to be like a slightly typical one within the context of Weil's conception. No prior wisdom of the latter is thought, even if, and the idea is constructed the following, step-by-step; additional, an entire dialogue of the Segal algebra involved is given, with references to the literature. Weil's metaplectic teams are a little bit more uncomplicated to enquire whilst the attribute isn't really 2; the case of attribute 2 offers a few specified positive aspects that are totally mentioned. New difficulties that come up are indicated.
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