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OverviewFull Product DetailsAuthor: Audrey TerrasPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of the original 2nd ed. 2013 Dimensions: Width: 15.50cm , Height: 2.20cm , Length: 23.50cm Weight: 6.496kg ISBN: 9781493950133ISBN 10: 1493950134 Pages: 413 Publication Date: 23 August 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsChapter 1 Flat Space. Fourier Analysis on R^m..- 1.1 Distributions or Generalized Functions.- 1.2 Fourier Integrals.- 1.3 Fourier Series and the Poisson Summation Formula.- 1.4 Mellin Transforms, Epstein and Dedekind Zeta Functions.- 1.5 Finite Symmetric Spaces, Wavelets, Quasicrystals, Weyls Criterion for Uniform Distribution.- Chapter 2 A Compact Symmetric Space--The Sphere.- 2.1 Fourier Analysis on the Sphere.- 2.2 O(3) and R^3. The Radon Transform.- Chapter 3 The Poincaré Upper Half-Plane.- 3.1 Hyperbolic Geometry.- 3.2 Harmonic Analysis on H.- 3.3 Fundamental Domains for Discrete Subgroups Γ of G = SL(2, R).- 3.4 Modular of Automorphic Forms--Classical.- 3.5 Automorphic Forms--Not So Classical--Maass Waveforms.- 3.6 Modular Forms and Dirichlet Series. Hecke Theory and Generalizations.- References.- Index.ReviewsFrom the book reviews: The present edition accommodates all the materials of the old one and maintains its style and spirit. ... It will acquaint that audience with this beautiful area and provide it with enough resources for further study. We hope this book will reinforce interest and excitement in the subject called harmonic analysis on symmetric spaces and, like its previous edition, it will be an important addition to individual collections and all the libraries, undergraduate, graduate and research. (Rudra P. Sarkar, Mathematical Reviews, November, 2014) An updated version of an established work of scholarship that has both stood the test of time, and remains very relevant and well-worth reading. The intended audience is very broad, and includes scientists outside of pure mathematics ... as well as mathematicians who wish to enter the indicated field and desire a very well-drawn road-map. ... And doing the exercises is a solid pedagogical experience that will inaugurate the novice as well as the interested `visitor' into active areas of research. (Michael Berg, MAA Reviews, November, 2013) From the book reviews: The present edition accommodates all the materials of the old one and maintains its style and spirit. ... It will acquaint that audience with this beautiful area and provide it with enough resources for further study. We hope this book will reinforce interest and excitement in the subject called harmonic analysis on symmetric spaces and, like its previous edition, it will be an important addition to individual collections and all the libraries, undergraduate, graduate and research. (Rudra P. Sarkar, Mathematical Reviews, November, 2014) An updated version of an established work of scholarship that has both stood the test of time, and remains very relevant and well-worth reading. The intended audience is very broad, and includes scientists outside of pure mathematics ... as well as mathematicians who wish to enter the indicated field and desire a very well-drawn road-map. ... And doing the exercises is a solid pedagogical experience that will inaugurate the novice as well as the interested `visitor' into active areas of research. (Michael Berg, MAA Reviews, November, 2013) From the book reviews: The present edition accommodates all the materials of the old one and maintains its style and spirit. ... It will acquaint that audience with this beautiful area and provide it with enough resources for further study. We hope this book will reinforce interest and excitement in the subject called harmonic analysis on symmetric spaces and, like its previous edition, it will be an important addition to individual collections and all the libraries, undergraduate, graduate and research. (Rudra P. Sarkar, Mathematical Reviews, November, 2014) An updated version of an established work of scholarship that has both stood the test of time, and remains very relevant and well-worth reading. The intended audience is very broad, and includes scientists outside of pure mathematics ... as well as mathematicians who wish to enter the indicated field and desire a very well-drawn road-map. ... And doing the exercises is a solid pedagogical experience that will inaugurate the novice as well as the interested 'visitor' into active areas of research. (Michael Berg, MAA Reviews, November, 2013) Author InformationAudrey Anne Terras is currently Professor Emerita of Mathematics at the University of California at San Diego. Tab Content 6Author Website:Countries AvailableAll regions |