Descriptive Set Theory and the Structure of Sets of Uniqueness
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Descriptive Set Theory and the Structure of Sets of Uniqueness by A. S. Kechris
Book DescriptionThe 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.
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Book DetailsISBN: 9780521358118
(228mm x 152mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Nov-1987
Country of Publication: United Kingdom
Books By Author A. S. Kechris
Descriptive Set Theory and Dynamical Systems, Paperback (May 2000)» View all books by A. S. Kechris
This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
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