Metaplectic Groups and Segal Algebras by Hans Reiter (PDF)

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Preliminaries from harmonic analysis and group theory.- Segal algebras; the Segal algebra G 1 (G).- Weil’s unitary operators and the Segal algebra G 1 (G).- Weil’s group of operators and related groups.- Vector spaces and quadratic forms ever local fields.- Properties of certain quadratic forms.- Weil operators for vector spaces over local fields.- The metaplectic group (local case); Segal continuity.- The metaplectic group and Segal continuity in the adelic case.- Weil’s theorem 6.

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