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arXiv:0708.0322 [math.NT]AbstractReferencesReviewsResources

Harmonic Analysis over adelic spaces

Anton Deitmar

Published 2007-08-02, updated 2007-08-21Version 5

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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