Descriptive Set Theory and the Structure of Sets of Uniqueness

Name: Descriptive Set Theory and the Structure of Sets of Uniqueness
Price: 49.28 USD
Availability: InStock
ISBN: 9780521358118

ISBN-10: 0521358116

ISBN-13: 9780521358118

Edition: 1987

Authors: Alexander S. Kechris, Alain Louveau, N. J. Hitchin

List price: $69.99

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Description:

The authors present some surprising connections that sets of uniqueness for trigonometic series have with descriptive set theory. They present many new results concerning the structure of sets of uniqueness and include solutions to some of the classical problems in this area. Topics covered include symmetric perfect sets and the solution to the Borel Basis Problem for U, the class of sets of uniqueness. To make the material accessible to both 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. Because the book is essentially selfcontained…

Book details

List price: $69.99
Copyright year: 1987
Publisher: Cambridge University Press
Publication date: 11/27/1987
Binding: Paperback
Pages: 380
Size: 5.98" wide x 8.98" long x 0.83" tall
Weight: 1.188
Language: English



Introduction


About this book



Trigonometric series and sets of uniqueness



The algebra A of functions with absolutely convergent fourier series, pseudofunctions and pseudomeasures



Symmetric perfect sets and the Salem-Zygmund theorem



Classification of the complexity of U



The Piatetski-Shapiro hierarchy of U-sets



Decomposing U-sets into simpler sets



The shrinking method, the theorem of Kï¿½rner and Kaufman, and the solution to the Borel basis problem for U



Extended uniqueness sets



Characterizing Rajchman measures



Sets of resolution and synthesis


List of problems


References


Symbols and Abbreviations


Index