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Descriptive Set Theory and the Structure of Sets of Uniqueness

Author: Alexander S Kechris; Alain Louveau
Publisher: Cambridge : Cambridge University Press, 1987.
Series: London Mathematical Society lecture note series, no. 128.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alexander S Kechris; Alain Louveau
ISBN: 9780511758850 0511758855 9780521358118 0521358116 9781107366404 1107366402
OCLC Number: 776967605
Notes: Title from publishers bibliographic system (viewed 22 Dec 2011).
Description: 1 online resource (380 pages).
Contents: Introduction; About this book; 1. Trigonometric series and sets of uniqueness; 2. The algebra A of functions with absolutely convergent fourier series, pseudofunctions and pseudomeasures; 3. Symmetric perfect sets and the Salem-Zygmund theorem; 4. Classification of the complexity of U; 5. The Piatetski-Shapiro hierarchy of U-sets; 6. Decomposing U-sets into simpler sets; 7. The shrinking method, the theorem of Korner and Kaufman, and the solution to the Borel basis problem for U; 8. Extended uniqueness sets; 9. Characterizing Rajchman measures; 10. Sets of resolution and synthesis; List of problems; References; Symbols and Abbreviations; Index.
Series Title: London Mathematical Society lecture note series, no. 128.
Responsibility: Alexander S. Kechris, Alain Louveau.

Abstract:

This book will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.  Read more...

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"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 significant." Mathematical Read more...

 
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