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

By Anton Deitmar

This e-book is a primer in harmonic research utilizing an undemanding process. Its first goal is to supply an creation to Fourier research, prime 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 exact instances of a extra common concept coming up within the context of in the community compact abelian teams. The 3rd target of this booklet is to introduce the reader to the suggestions utilized in harmonic research of noncommutative teams. There are new chapters during this new version. One on distributions will entire the set of actual variable equipment brought within the first half. the opposite at the Heisenberg team presents an instance of a bunch that's neither compact nor abelian, but is easy adequate to simply deduce the Plancherel Theorem.

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