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deitmar anton; echterhoff siegfried - principles of harmonic analysis

Principles of Harmonic Analysis

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 07/2014
Edizione: 2nd ed. 2014





Trama

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 principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.




Sommario

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.




Autore

Anton Deitmar is a professor of Mathematics at the University of Tübingen, Germany. Siegfried Echterhoff is a professor of Mathematics at the University of Münster, Germany.










Altre Informazioni

ISBN:

9783319057910

Condizione: Nuovo
Collana: Universitext
Dimensioni: 235 x 155 mm Ø 6447 gr
Formato: Copertina rigida
Illustration Notes:XIII, 332 p. 11 illus.
Pagine Arabe: 332
Pagine Romane: xiii


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