{"product_id":"principles-of-harmonic-analysis-anton-deitmar-9780387854687","title":"Principles of Harmonic Analysis","description":"The tread of this book is formed by two fundamental principles of Harmonic Analysis: the Plancherel Formula and the Poisson S- mation Formula. We ?rst prove both for locally compact abelian groups. For non-abelian groups we discuss the Plancherel Theorem in the general situation for Type I groups. The generalization of the Poisson Summation Formula to non-abelian groups is the S- berg Trace Formula, which we prove for arbitrary groups admitting uniform lattices. As examples for the application of the Trace F- mula we treat the Heisenberg group and the group SL (R). In the 2 2 former case the trace formula yields a decomposition of the L -space of the Heisenberg group modulo a lattice. In the case SL (R), the 2 trace formula is used to derive results like the Weil asymptotic law for hyperbolic surfaces and to provide the analytic continuation of the Selberg zeta function. We ?nally include a chapter on the app- cations of abstract Harmonic Analysis on the theory of wavelets. The present book is a text book for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up of the First Course in Harmonic Analysis,  9], or indep- dently, if the students have required a modest knowledge of Fourier Analysis already. In this book, among other things, proofs are given of Pontryagin Duality and the Plancherel Theorem for LCA-groups, which were mentioned but not proved in  9].\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Anton Deitmar, Siegfried Echterhoff\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0387854681\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780387854687\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/21\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 333\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.10lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.80d","brand":"Anton Deitmar","offers":[{"title":"Paperback","offer_id":44056050729215,"sku":"9780387854687","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_16c0a5db-51c3-4395-b478-479c33208f8a.jpg?v=1685039238","url":"https:\/\/www.whiterainbookhouse.com\/products\/principles-of-harmonic-analysis-anton-deitmar-9780387854687","provider":"WR Book House","version":"1.0","type":"link"}