Harmonic And Spectral Analysis

Harmonic And Spectral Analysis

László Székelyhidi

$78.00

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Description

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.

Contents:
  • Abstract Harmonic Analysis:
    • Duality of Finite Abelian Groups
    • Harmonic Analysis on Finite Abelian Groups
    • Set Theory and Topology
    • 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
    • Haar Integral on Locally Compact Abelian Groups
    • Harmonic Analysis on Locally Compact Abelian Groups
  • Spectral Analysis and Synthesis:
    • Basic Concepts
    • Basic Function Classes
    • The Torsion Free Rank
    • Spectral Analysis
    • Spectral Synthesis

Readership: Graduate students and researchers in the fields of harmonic analysis and functional analysis.


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