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

By Anton Deitmar

This ebook is a primer in harmonic research utilizing an effortless technique. Its first target 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 certain circumstances of a extra common thought bobbing up within the context of in the neighborhood 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 new version. One on distributions will entire the set of genuine variable tools brought within the first half. the opposite at the Heisenberg team offers an instance of a bunch that's neither compact nor abelian, but is straightforward sufficient to simply deduce the Plancherel Theorem.

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