Principles of harmonic analysis [Documento electrónico] / Anton Deitmar, Siegfried Echterhoff
Language: eng.Country: Germany.Publication: Cham : Springer International Publishing, 2014Description: XIII, 332 p. : il.ISBN: 978-3-319-05792-7.Series: UniversitextSubject - Topical Name: 20726Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA403.SPR FCT 82003 (Browse shelf(Opens below)) | 1 | Available |
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QA403.SPR FCT 81651 Harmonic analysis of mean periodic functions on symmetric spaces and the Heisenberg group | QA403.SPR FCT 81762 Advances in harmonic analysis and operator theory, the Stefan Samko anniversary volume | QA403.SPR FCT 81878 Harmonic and complex analysis and its applications | QA403.SPR FCT 82003 Principles of harmonic analysis | QA403.SPR FCT 82081 New perspectives on approximation and sampling theory, festschrift in honor of Paul Butzer's 85th birthday | QA403.SPR FCT 82198 Harmonic analysis on spaces of homogeneous type | QA403.SPR FCT 82365 Harmonic analysis and group representation |
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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.
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