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

By Anton Deitmar

This booklet is a primer in harmonic research utilizing an effortless technique. Its first goal is to supply an creation to Fourier research, top as much as the Poisson Summation formulation. Secondly, it makes the reader conscious of the truth that either, the Fourier sequence and the Fourier rework, are distinct situations of a extra basic concept bobbing up within the context of in the community compact abelian teams. The 3rd objective of this ebook is to introduce the reader to the recommendations utilized in harmonic research of noncommutative teams. There are new chapters during this re-creation. One on distributions will entire the set of actual variable tools 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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