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Principles of Harmonic Analysis (Universitext) by Deitmar, Anton, Echterhoff, Siegfried is a nonfiction available to read on EtoBox.

What is Principles of Harmonic Analysis (Universitext) about?

This Book Offers A Complete And Streamlined Treatment Of 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. The Principles Are Then Applied To Spectral Analysis Of Heisenberg Manifolds And Riemann Surfaces. This New Edition Contains A New Chapter On P-adic And Adelic Groups, As Well As A Complementary Section On Direct And Projective Limits. Many Of The Supporting Proofs Have Been Revised And Refined. The Book Is An Excellent Resource For Graduate Students Who Wish To Learn And Understand Harmonic Analysis And For Researchers Seeking To Apply It. 1. Haar Integration -- 2. Banach Algebras -- 3. Duality For Abelian Groups -- 4. The Structure Of Lca-groups -- 5. Operators On Hilbert Spaces -- 6. Representations -- 7. Compact Groups -- 8. Direct Integrals -- 9. The Selberg Trace Formula -- 10. The Heisenberg Group -- 11. Sl₂(r) -- 12. Wavelets -- 13. [rho]-adic Numbers And Adeles -- Appendix A. Topology -- Appendix B. Measure And Integration -- Appendix C. Functional Analysis. Anton Deitmar, Siegfried Ech

Who reads Principles of Harmonic Analysis (Universitext)?

Author

Deitmar, Anton, Echterhoff, Siegfried

Publisher

Springer International Publishing : Imprint : Springer

Published

2014

Language

EN

ISBN

9780387854687

Category

nonfiction

Subjects

Mathematics, Stem