Harmonic Analysis over adelic spaces

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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.
LATeX, 29 pages

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Number Theory, Commutative Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/136268

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0322
 http://arxiv.org/abs/0708.0322

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arXiv