Download Harmonic and Spectral Analysis by László Székelyhidi PDF

By László Székelyhidi

This publication presents a contemporary advent to harmonic research and synthesis on topological teams. It serves as a advisor to the summary concept of Fourier transformation. For the 1st time, it provides an in depth account of the speculation of classical harmonic research including the new advancements in spectral research and synthesis.

Contents:

  • Abstract Harmonic Analysis:
    • Duality of Finite Abelian Groups
    • Harmonic research on Finite Abelian Groups
    • Set concept and Topology
    • Invariant potential on Abelian Groups
    • Duality of Discrete and Compact Abelian Groups
    • Duality of user-friendly Abelian Groups
    • Harmonic research on Compact Abelian Groups
    • Duality of in the neighborhood Compact Abelian Groups
    • Haar crucial on in the neighborhood Compact Abelian Groups
    • Harmonic research on in the community Compact Abelian Groups
  • Spectral research and Synthesis:
    • Basic Concepts
    • Basic functionality Classes
    • The Torsion unfastened Rank
    • Spectral Analysis
    • Spectral Synthesis

Readership: Graduate scholars and researchers within the fields of harmonic research and useful analysis.

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