Description

Book Synopsis
This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.

Table of Contents
Duality of Finite Abelian Groups; Harmonic Analysis on Finite Abelian Groups; Invariant Means on Abelian Groups; Duality of Discrete and Compact Abelian Groups; Duality of Elementary Abelian Groups; Harmonic Analysis on Compact Abelian Groups; Duality of Locally Compact Abelian Groups; Harmonic Analysis on Locally Compact Abelian Groups; Haar Integral on Locally Compact Abelian Groups; Spectral Analysis on Abelian Groups; Spectral Synthesis on Abelian Groups; Spectral Analysis and Synthesis on Varieties; Noncommutative Spectral Synthesis.

Harmonic And Spectral Analysis

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    A Hardback by Laszlo Szekelyhidi

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 17 April 2014
      ISBN-13 9789814531719
      978-9814531719
      ISBN-10 9814531715

      Description

      Book Synopsis
      This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.

      Table of Contents
      Duality of Finite Abelian Groups; Harmonic Analysis on Finite Abelian Groups; Invariant Means on Abelian Groups; Duality of Discrete and Compact Abelian Groups; Duality of Elementary Abelian Groups; Harmonic Analysis on Compact Abelian Groups; Duality of Locally Compact Abelian Groups; Harmonic Analysis on Locally Compact Abelian Groups; Haar Integral on Locally Compact Abelian Groups; Spectral Analysis on Abelian Groups; Spectral Synthesis on Abelian Groups; Spectral Analysis and Synthesis on Varieties; Noncommutative Spectral Synthesis.

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