Principles of Harmonic Analysis
This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The prin...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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Έκδοση: | 2nd ed. 2014. |
Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 1. Haar Integration
- 2. Banach Algebras
- 3. Duality for Abelian Groups
- 4. The Structure of LCA-Groups
- 5. Operators on Hilbert Spaces
- 6. Representations
- 7. Compact Groups
- 8. Direct Integrals
- 9. The Selberg Trace Formula
- 10. The Heisenberg Group
- 11. SL2(R)
- 12. Wavelets
- 13. p-adic numbers and adeles
- A. Topology
- B. Measure and Integration
- C: Functional Analysis.