Harmonic Analysis over adelic spaces
Number Theory
2007-08-21 v5 Commutative Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.0708.0322,
title = {Harmonic Analysis over adelic spaces},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:0708.0322},
year = {2007}
}
Comments
LATeX, 29 pages