Positive Definite and Definitizable Functions (Mathematical Topics) - Hardcover

Sasv?ri, Zolt?n

Hardcover

ISBN 10: 3055014464 ISBN 13: 9783055014468

Publisher: Wiley-VCH, 1994

Synopsis

Positive definite functions and their generalizations have arisen in diverse parts of mathematics since the beginning of this century. They occur naturally in harmonic analysis, moment problems, operator theory, probability theory, and other areas. A considerable portion of our function-theoretical knowledge of locally compact groups rests upon a study of positive definite functions. The present book provides an introduction to the theory of these functions from the point of view of harmonic analysis on amps. The first chapter deals with basic results on positive definite functions, the second one contains some applications. The third and fourth chapters are devoted to special questions: decomposition and extension of positive definite functions. The second part of the book (chapters 5 and 6) deals with functions having a finite number of negative squares and with definitizable functions. The appendix is a self-contained introduction to basic facts from the theory of Pontryagin spaces.

About this title

From the Publisher

An introduction to the theory of positive definite and definitizable functions on groups is presented. Chapters 1-4 deal with positive definite functions and their applications, chapters 5-6 are devoted to functions with a finite number of negative squares and to definitizable functions. The appendix also contains a short introduction to theory of Pontryagin spaces.

Edition details

• Publisher: Wiley-VCH
• Publication date: 1994
• ISBN 10: 3055014464
• ISBN 13: 9783055014468
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 208