Harmonic and spectral analysis /

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 developme...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Székelyhidi, László (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Hackensack] New Jersey : World Scientific, 2014.
Temas:
Harmonic analysis.
Spectral sequences (Mathematics)
Analyse harmonique.
Suites spectrales (Mathématiques)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Harmonic analysis
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Abtract harmonic analysis. 1. Duality of finite Abelian groups
  • 2. Harmonic analysis on finite Abelian
  • 3. Set theory and topology
  • 4. Invariant means on Abelian groups
  • 5. Duality of discrete and compact Abelian groups
  • 6. Duality of elementary Abelian groups
  • 7. Harmonic analysis on compact Abelian groups
  • 8. Duality of locally compact Abelian groups
  • 9. Haar Integral on locally compact Abelian groups
  • 10. Harmonic analysis on locally compact Abelian groups
  • Spectral analysis and synthesis. 11. Basic concepts
  • 12. Basic function classes
  • 13. The torsion free rank
  • 14. Spectral analysis
  • 15. Spectral synthesis.

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