Harmonic Analysis of Mean Periodic Functions on Symmetric
ISBN: , SKU: , AUTHOR: Volchkov, Valery V. / Volchkov, Vitaly V. / Volchkov, V. V., PUBLISHER: Springer, The book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous ong>spaceong>s. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric ong>spaceong>s. The main purpose of this book is the study of local aspects of spectral analysis and spectral synthesis on Euclidean ong>spaceong>s, Riemannian symmetric ong>spaceong>s of an arbitrary rank and Heisenberg groups. The subject can be viewed as arising from three classical topics: Johna (TM)s support theorem, Schwartza (TM)s fundamental principle, and Delsartea (TM)s two-radii theorem. Very up-to-date, the book contains most of the significant recent results in this area with complete and detailed proofs. In order to make this book accessible to a wide audience, the authors provide an introductory part developing analysis on symmetric ong>spaceong>s ong>withoutong> use of Lie theory. Challenging open problems are described and explained, and promising new research directions are indicated. Designed for both experts and beginners in the field, the book is rich in methods for a wide variety of problems in many areas of mathematics. Acquista Ora