Descriptive set theory and the structure of sets of uniqueness:
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, mea...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1987
|
| Schriftenreihe: | London Mathematical Society lecture note series
128 |
| Links: | https://doi.org/10.1017/CBO9780511758850 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (367 Seiten) |
| ISBN: | 9780511758850 |
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| spelling | Kechris, A. S. 1946- Descriptive set theory and the structure of sets of uniqueness Alexander S. Kechris and Alain Louveau Descriptive Set Theory & the Structure of Sets of Uniqueness Cambridge Cambridge University Press 1987 1 Online-Ressource (367 Seiten) txt c cr London Mathematical Society lecture note series 128 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. Louveau, Alain Erscheint auch als Druck-Ausgabe 9780521358118 |
| spellingShingle | Kechris, A. S. 1946- Descriptive set theory and the structure of sets of uniqueness |
| title | Descriptive set theory and the structure of sets of uniqueness |
| title_alt | Descriptive Set Theory & the Structure of Sets of Uniqueness |
| title_auth | Descriptive set theory and the structure of sets of uniqueness |
| title_exact_search | Descriptive set theory and the structure of sets of uniqueness |
| title_full | Descriptive set theory and the structure of sets of uniqueness Alexander S. Kechris and Alain Louveau |
| title_fullStr | Descriptive set theory and the structure of sets of uniqueness Alexander S. Kechris and Alain Louveau |
| title_full_unstemmed | Descriptive set theory and the structure of sets of uniqueness Alexander S. Kechris and Alain Louveau |
| title_short | Descriptive set theory and the structure of sets of uniqueness |
| title_sort | descriptive set theory and the structure of sets of uniqueness |
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