Harmonic Analysis over adelic spaces
classification
🧮 math.NT
math.AC
keywords
formulaanalysisharmonicadelicdevelopeddimensionaldimensionsduality
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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.
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