Read e-book online A First Course in Harmonic Analysis (Universitext) PDF

By Anton Deitmar

This publication is a primer in harmonic research utilizing an effortless method. Its first target is to supply an creation to Fourier research, best 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 distinct instances of a extra basic concept bobbing up within the context of in the neighborhood compact abelian teams. The 3rd target of this ebook is to introduce the reader to the concepts 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 workforce 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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