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Anton Deitmar

About this product Product Information This book examines the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. Show more Show less. No ratings or reviews yet.

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Are you sure you would like to remove these items from your wishlist? Remove From Wishlist Cancel. Chapter 7 on compact groups includes the Peter-Weyl theorem and an analysis of the representations of SU 2. After some work, Chapter 8 describes direct Hilbert integrals on Hilbert bundles.

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This leads to a noncommutative Plancherel theorem for certain locally compact groups. The Selberg trace formula is introduced and proved in Chapter 9. It is also applied to SL 2 R in Chapter The last chapter, on Wavelets, would be an intimidating and difficult introduction for someone with no prior acquaintance with wavelets.

However, it does contain some more interesting theorems about representations. The appendices are well done, with enough details to actually be useful.

In summary, this is a superb book. SL2 R. Measure and Integration. Fat Chance Probability from 0 to 1. In Stock. Combinatorial Scientific Computing.

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Principles of Harmonic Analysis by Anton Deitmar, Siegfried Echterhoff (Hardback, 2014)

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