2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136268Extending 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 pagesNumber TheoryCommutative AlgebraHarmonic Analysis over adelic spacestext