By Anton Deitmar
This ebook bargains a whole and streamlined remedy of the principal rules of abelian harmonic research: Pontryagin duality, the Plancherel theorem and the Poisson summation formulation, in addition to their respective generalizations to non-abelian teams, together with the Selberg hint formulation. the rules are then utilized to spectral research of Heisenberg manifolds and Riemann surfaces. This re-creation encompasses a new bankruptcy on p-adic and adelic teams, in addition to a complementary part on direct and projective limits. a few of the assisting proofs were revised and sophisticated. The ebook is a superb source for graduate scholars who desire to examine and comprehend harmonic research and for researchers looking to follow it.
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Additional info for Principles of Harmonic Analysis (Universitext)
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