Harmonic and spectral analysis
Harmonic analysis Spectral sequences (Mathematics) e-böcker
World Scientific
2014
EISBN 9789814531726
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.
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.
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.
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.
