Principles of Harmonic Analysis

• Κύριοι συγγραφείς: Deitmar, Anton (Συγγραφέας), Echterhoff, Siegfried (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Έκδοση: 2nd ed. 2014.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Harmonic analysis.; Applied mathematics.; Engineering mathematics.; Visualization.; Abstract Harmonic Analysis.; Applications of Mathematics.

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...

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.