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	Nicht verfügbar
ISBN 13	9780521358118
ISBN 10	0521358116
Titel	Descriptive Set Theory and the Structure of Sets of Uniqueness
Autor	Alexander S Kechris
Serie	London Mathematical Society Lecture Note Series
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Cambridge University Press
Erscheinungsjahr	1987-11-27
Seitenanzahl	380
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar