Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane


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About the Book

Chapter 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, Weyl's 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.
About the Author: Audrey Anne Terras is currently Professor Emerita of Mathematics at the University of California at San Diego.


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Product Details
  • ISBN-13: 9781461479710
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Depth: 32
  • Height: 234 mm
  • No of Pages: 413
  • Series Title: 0002-2013
  • Sub Title: Euclidean Space, the Sphere, and the Poincare Upper Half-Plane
  • Width: 160 mm
  • ISBN-10: 1461479711
  • Publisher Date: 13 Sep 2013
  • Binding: Hardback
  • Edition: 2
  • Language: English
  • Returnable: Y
  • Spine Width: 28 mm
  • Weight: 829 gr


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Harmonic Analysis on Symmetric Spaces--Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane
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