Research Catalog

Principles of harmonic analysis

Title
Principles of harmonic analysis / Anton Deitmar, Siegfried Echterhoff.
Author
Deitmar, Anton.
Publication
New York : Springer, ©2009.

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Details

Additional Authors
Echterhoff, Siegfried, 1960-
Description
xv, 333 pages; 24 cm
Summary
This title contains material unavailable elsewhere including the full proof of Pontryagin Duality and the Plancherel Theorem. The authors emphasize Banach algebras as the cleanest way to get many fundamentals results in harmonic analysis.
Series Statement
Universitext
Uniform Title
Universitext
Subject
  • Harmonic analysis
  • Fourier Analysis
  • Harmonische Analyse
  • Abstrakte harmonische Analysis
  • Locally compact Abelian groups
  • Fourier analysis
Bibliography (note)
  • Includes bibliographical references (p.323-327) and index.
Contents
Haar integration -- Banach algebras -- Duality for Abelian groups -- The structure of LGA -groups -- Operators on Hilbert spaces -- Representations -- Compact groups -- Direct integrals -- The Selberg trace formula -- The Heisenberg group -- Wavelets -- Topology -- Measure and integration -- Functional analysis.
ISBN
  • 0387854681
  • 9780387854687
  • 038785469X
  • 9780387854694
LCCN
  • 2008938333
  • 9780387854687
OCLC
  • ocn277275470
  • 277275470
  • SCSB-9188789
Owning Institutions
Princeton University Library