LMS: 128 Descriptive Set Theory (London Mathematical Society Lecture Note Series, Series Number 128) - Softcover

Kechris, Alexander S.

Softcover

ISBN 10: 0521358116 ISBN 13: 9780521358118

Publisher: Cambridge University Press, 2008

Synopsis

The study of sets of uniqueness for trigonometric series has a long history, originating in the work of Riemann, Heine, and Cantor in the mid-nineteenth century. Since then it has been a fertile ground for numerous investigations involving real analysis, classical and abstract harmonic analysis, measure theory, functional analysis and number theory. In this book are developed the intriguing and surprising connections that the subject has with descriptive set theory. These have only been discovered recently and the authors present here this novel theory which leads to many new results concerning the structure of sets of uniqueness and include solutions to some of the classical problems in this area. In order to make the material accessible to logicians, set theorists and analysts, the authors have covered in some detail large parts of the classical and modern theory of sets of uniqueness as well as the relevant parts of descriptive set theory. Thus the book is essentially self-contained and will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.

About this title

Review:

"Of all the work that has been done in recent years on connections between descriptive set theory and analysis, the results contained in this book are the deepest and most significant." Mathematical Reviews

Book Description:

The study of sets of uniqueness for trigonometric series has a long history, originating in the work of Riemann, Heine, and Cantor in the mid-nineteenth century. Since then it has been a fertile ground for numerous investigations involving real analysis, classical and abstract harmonic analysis, measure theory, functional analysis and number theory.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521358116
• ISBN 13: 9780521358118
• Binding: Paperback
• Number of pages: 380