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Principles of Harmonic Analysis
Taschenbuch von Siegfried Echterhoff (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
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.
Zusammenfassung

Second edition is completely revised and updated, including many new exercises and theorems

New chapter on p-adic and abelic groups

Updated appendices on theoretic topology, Lebesgue integration, and functional analysis

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 348
Reihe: Universitext
Inhalt: xiii
332 S.
11 s/w Illustr.
332 p. 11 illus.
ISBN-13: 9783319379043
ISBN-10: 3319379046
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Echterhoff, Siegfried
Deitmar, Anton
Auflage: Softcover reprint of the original 2nd ed. 2014
Hersteller: Springer International Publishing
Universitext
Maße: 235 x 155 x 19 mm
Von/Mit: Siegfried Echterhoff (u. a.)
Erscheinungsdatum: 17.09.2016
Gewicht: 0,528 kg
Artikel-ID: 103170484
Über den Autor
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.
Zusammenfassung

Second edition is completely revised and updated, including many new exercises and theorems

New chapter on p-adic and abelic groups

Updated appendices on theoretic topology, Lebesgue integration, and functional analysis

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 348
Reihe: Universitext
Inhalt: xiii
332 S.
11 s/w Illustr.
332 p. 11 illus.
ISBN-13: 9783319379043
ISBN-10: 3319379046
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Echterhoff, Siegfried
Deitmar, Anton
Auflage: Softcover reprint of the original 2nd ed. 2014
Hersteller: Springer International Publishing
Universitext
Maße: 235 x 155 x 19 mm
Von/Mit: Siegfried Echterhoff (u. a.)
Erscheinungsdatum: 17.09.2016
Gewicht: 0,528 kg
Artikel-ID: 103170484
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