Harmonic Analysis over adelic spaces

Details Harmonic Analysis over adelic spaces Harmonic Analysis over adelic spaces

2007-08-02

arxiv.org/abs/0708.0322v5

Mathematics

Number Theory

LATeX, 29 pages

Scientific paper

Extending ideas of A.N. Parshin and D.V. Osipov, Harmonic Analysis is
developed for filtered infinite dimensional modules over a ring. We establish
Pontryagin duality, the Fourier inversion formula, Plancherel formula and
Poisson summation formula for all dimensions.

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