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Descriptive Set Theory and the Structure of Sets of Uniqueness

Kechris, Alexander S. and Louveau, Alain (1987) Descriptive Set Theory and the Structure of Sets of Uniqueness. London Mathematical Society Lecture Note Series. No.128. Cambridge University Press , Cambridge. ISBN 9780521358118. http://resolver.caltech.edu/CaltechAUTHORS:20180810-081409898

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Abstract

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.


Item Type:Book
Related URLs:
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https://doi.org/10.1017/CBO9780511758850DOIBook Publisher
Additional Information:© 1987 Cambridge University Press.
Record Number:CaltechAUTHORS:20180810-081409898
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180810-081409898
Official Citation:Kechris, A., & Louveau, A. (1987). Descriptive Set Theory and the Structure of Sets of Uniqueness (London Mathematical Society Lecture Note Series). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511758850
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88735
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 Aug 2018 16:21
Last Modified:10 Aug 2018 16:21

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