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OverviewFull Product DetailsAuthor: Valery V. Volchkov , Vitaly V. VolchkovPublisher: Springer London Ltd Imprint: Springer London Ltd Edition: 2009 ed. Dimensions: Width: 15.50cm , Height: 3.40cm , Length: 23.50cm Weight: 1.033kg ISBN: 9781447122838ISBN 10: 1447122836 Pages: 671 Publication Date: 30 November 2011 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsSymmetric Spaces. Harmonic Analysis on Spheres.- General Considerations.- Analogues of the Beltrami–Klein Model for Rank One Symmetric Spaces of Noncompact Type.- Realizations of Rank One Symmetric Spaces of Compact Type.- Realizations of the Irreducible Components of the Quasi-Regular Representation of Groups Transitive on Spheres. Invariant Subspaces.- Non-Euclidean Analogues of Plane Waves.- Transformations with Generalized Transmutation Property Associated with Eigenfunctions Expansions.- Preliminaries.- Some Special Functions.- Exponential Expansions.- Multidimensional Euclidean Case.- The Case of Symmetric Spaces X=G/K of Noncompact Type.- The Case of Compact Symmetric Spaces.- The Case of Phase Space.- Mean Periodicity.- Mean Periodic Functions on Subsets of the Real Line.- Mean Periodic Functions on Multidimensional Domains.- Mean Periodic Functions on G/K.- Mean Periodic Functions on Compact Symmetric Spaces of Rank One.- Mean Periodicity on Phase Space and the Heisenberg Group.- Local Aspects of Spectral Analysis and the Exponential Representation Problem.- A New Look at the Schwartz Theory.- Recent Developments in the Spectral Analysis Problem for Higher Dimensions.- ????(X) Spectral Analysis on Domains of Noncompact Symmetric Spaces of Arbitrary Rank.- Spherical Spectral Analysis on Subsets of Compact Symmetric Spaces.ReviewsFrom the reviews: This book is devoted to some recent developments in the harmonic analysis of mean periodic functions on symmetric spaces and Heisenberg group ... . Many topics appear here for the first time in book form. The book under review was written by two leading experts who have made extensive and deep contributions to the subject in the last fifteen years. ... an in-depth, modern, clear exposition of the advanced theory of harmonic analysis on the symmetric domain of rank one and the Heisenberg group. (Jingzhi Tie, Mathematical Reviews, Issue 2011 f) The book is a ... comprehensive research monograph, based on the author's work. ... Each section contains an introduction, notes and remarks. The book presents a modern and ambitious theme of harmonic analysis. ... will mainly attract experts. (H. G. Feichtinger, Monatshefte fur Mathematik, Vol. 163 (1), May, 2011) The book under review is a masterly treatise whose aim is to present the theory of mean periodic functions in symmetric spaces and on the Heisenberg group ... . This book is for experts in geometric analysis. ... of general interest to researchers in differential geometry, analysis and probability whose work wanders into symmetric spaces. It should certainly be in the library of every university where there is research in mathematics. (Dave Applebaum, The Mathematical Gazette, Vol. 95 (534), November, 2011) From the reviews: This book is devoted to some recent developments in the harmonic analysis of mean periodic functions on symmetric spaces and Heisenberg group ... . Many topics appear here for the first time in book form. The book under review was written by two leading experts who have made extensive and deep contributions to the subject in the last fifteen years. ... an in-depth, modern, clear exposition of the advanced theory of harmonic analysis on the symmetric domain of rank one and the Heisenberg group. (Jingzhi Tie, Mathematical Reviews, Issue 2011 f) The book is a ... comprehensive research monograph, based on the author's work. ... Each section contains an introduction, notes and remarks. The book presents a modern and ambitious theme of harmonic analysis. ... will mainly attract experts. (H. G. Feichtinger, Monatshefte fur Mathematik, Vol. 163 (1), May, 2011) The book under review is a masterly treatise whose aim is to present the theory of mean periodic functions in symmetric spaces and on the Heisenberg group ... . This book is for experts in geometric analysis. ... of general interest to researchers in differential geometry, analysis and probability whose work wanders into symmetric spaces. It should certainly be in the library of every university where there is research in mathematics. (Dave Applebaum, The Mathematical Gazette, Vol. 95 (534), November, 2011) Aus den Rezensionen: ! die wesentlichen Grundlagen der Theorie wurden von Laurent Schwartz etabliert. ! Eigenschaften und Charakterisierungen aller im Mittel periodischen Funktionen sind von Interesse. ! ist in vier Abschnitte unterteilt. ! eine sorgfaltig geschriebene, systematische und ! konzise. ! Hilfsresultate sind sicherlich nutzlich, und sie sind ein Indikator fur die mathematische Stringenz der Herangehensweise. ! Lobend hervorzuheben ist der klare Aufbau des Buchs. Jeder der vier Teile beginnt mit einer kurzen Einfuhrung und endet mit ausfuhrlichen Kommentaren, Anknupfungspunkten und offenen Fragen. (in: Jahresbericht Deutsche Mathematiker-Vereinigung DMV, 2010, Vol. 112, Issue 2) Author InformationTab Content 6Author Website:Countries AvailableAll regions |