By Anton Deitmar

This publication is a primer in harmonic research utilizing an basic method. Its first goal is to supply an advent to Fourier research, major as much as the Poisson Summation formulation. Secondly, it makes the reader conscious of the truth that either, the Fourier sequence and the Fourier remodel, are specified circumstances of a extra common idea bobbing up within the context of in the community compact abelian teams. The 3rd aim of this ebook is to introduce the reader to the strategies utilized in harmonic research of noncommutative teams. There are new chapters during this re-creation. One on distributions will whole the set of actual variable tools brought within the first half. the opposite at the Heisenberg crew presents an instance of a bunch that's neither compact nor abelian, but is easy sufficient to simply deduce the Plancherel Theorem.

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A First Course in Harmonic Analysis (Universitext) by Anton Deitmar

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