---

＜電子ブック＞
Principles of Harmonic Analysis / by Anton Deitmar, Siegfried Echterhoff
(Universitext. ISSN:21916675)

版	2nd ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XIII, 332 p. 11 illus : online resource
著者標目	*Deitmar, Anton author Echterhoff, Siegfried author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Information visualization LCSH:Mathematics FREE:Abstract Harmonic Analysis FREE:Data and Information Visualization FREE:Applications of Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-05792-7

 類似資料