Principles of Harmonic Analysis

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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 prin...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Deitmar, Anton (Author), Echterhoff, Siegfried (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:2nd ed. 2014.
Series:Universitext,
Subjects:
Harmonic analysis.
Information visualization.
Mathematics.
Abstract Harmonic Analysis.
Data and Information Visualization.
Applications of Mathematics.
Online Access:Texto Completo
Table of Contents:
  • 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. p-adic numbers and adeles
  • A. Topology
  • B. Measure and Integration
  • C: Functional Analysis.

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