Interpolation and Sidon Sets for Compact Groups

Kathryn E. Hare

ISBN 10: 1489973605 / ISBN 13: 9781489973603

Verlag: Springer US, Springer US Jul 2015, 2015

Beschreibung

Neuware -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 Englishwhich featuresa 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. ¿Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 268 pp. Englisch.

Bestandsnummer des Verkäufers 9781489973603

Bibliografische Details

• Titel: Interpolation and Sidon Sets for Compact Groups
• Verlag: Springer US, Springer US Jul 2015
• Erscheinungsjahr: 2015
• Sprache: Englisch
• ISBN-10: 1489973605
• ISBN-13: 9781489973603
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 15 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 15 mm
• Gewicht: 411 Gramm

Über diesen Titel

Inhaltsangabe

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. ​