Descriptive Set Theory and the Structure of Sets of Uniqueness by Alexander S Kechris

Descriptive Set Theory and the Structure of Sets of Uniqueness by Alexander S Kechris

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.

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 significantMathematical Reviews

SKU	Unavailable
ISBN 13	9780521358118
ISBN 10	0521358116
Title	Descriptive Set Theory and the Structure of Sets of Uniqueness
Author	Alexander S Kechris
Series	London Mathematical Society Lecture Note Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	1987-11-27
Number of pages	380
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable