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

By Anton Deitmar

This publication is a primer in harmonic research utilizing an straightforward process. Its first objective is to supply an creation 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 instances of a extra normal idea coming up within the context of in the community compact abelian teams. The 3rd aim of this booklet is to introduce the reader to the options 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 tools brought within the first half. the opposite at the Heisenberg staff presents an instance of a gaggle that's neither compact nor abelian, but is straightforward 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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