Descriptive Set Theory and the Structure of Sets of Uniqueness

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. 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 Körner 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.

Dettagli sul prodotto

• Autori: A. S. Kechris, A. S. Louveau Kechris, Alexander S. Kechris, Alexander S. Louveau Kechris, Alain Louveau
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 27.11.1987
• EAN: 9780521358118
• ISBN: 978-0-521-35811-8
• Pagine: 380
• Serie: ICMI Study Series
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Fondamenti