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Descriptive Set Theory and the Structure of Sets of Uniqueness als Taschenbuch
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Descriptive Set Theory and the Structure of Sets of Uniqueness

Sprache: Englisch.
Taschenbuch
This book will make an excellent introduction to the subject for graduate students and research workers in set theory and analysis.
Taschenbuch

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Descriptive Set Theory and the Structure of Sets of Uniqueness als Taschenbuch
Produktdetails
Titel: Descriptive Set Theory and the Structure of Sets of Uniqueness
Autor/en: A. S. Kechris, Alain Louveau

ISBN: 0521358116
EAN: 9780521358118
Sprache: Englisch.
CAMBRIDGE UNIV PR

August 2005 - kartoniert - 380 Seiten

Beschreibung

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

Inhaltsverzeichnis

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.

Pressestimmen

"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 Reviews

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