Interpolation and Sidon Sets for Compact Groups

Graham, Colin C.; Hare, Kathryn E.

ISBN 10: 1461453917 / ISBN 13: 9781461453918

Published by Springer-Verlag New York Inc., 2013

This book on interpolation and Sidon sets introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. Includes exercises and open problems. Series: CMS Books in Mathematics. Num Pages: 266 pages, biography. BIC Classification: PBKD; PBKF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 15. Weight in Grams: 553. . 2013. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9781461453918

Synopsis:

Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included.    The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book also provides direction to the literature for topics it does not fully cover. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requisite background of a student ready to choose an area for research in harmonic analysis. ​

From the Back Cover: Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included. The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book also provides direction to the literature for topics it does not fully cover. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requisite background of a student ready to choose an area for research in harmonic analysis. ​

Bibliographic Details

Title: Interpolation and Sidon Sets for Compact ...
Publisher: Springer-Verlag New York Inc.
Publication Date: 2013
Binding: Hardcover
Condition: New