Principles of Harmonic Analysis
2nd Edition
Published on 21. June 2014
XIII, 332 pages
978-3-319-05792-7 (ISBN)
Description
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.
More details
Series
Edition
2nd ed. 2014
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Product notice
Reflowable
Illustrations
XIII, 332 p. 11 illus.
File size
2,36 MB
ISBN-13
978-3-319-05792-7 (9783319057927)
DOI
10.1007/978-3-319-05792-7
Schweitzer Classification
Other editions
Additional editions
Anton Deitmar | Siegfried Echterhoff
Principles of Harmonic Analysis
Book
07/2014
2nd Edition
Springer
€106.99
Shipment within 10-15 days
Persons
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.
Content
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.
