Trigonometric Series and Set Theory

• Autorzy: Kechris A. S.
• Konferencja: 6th European Congress of Mathematics, 2-7 July 2012 Kraków
• Języki publikacji: EN

Abstrakty

EN

The historical survey concerning the interactions between the theory of trigonometric series and descriptive set theory. We concentrate here on the area related to problems of uniqueness for trigonometric series. Detailed historical and bibliographical references can be found in the books and survey papers listed at the end.

Słowa kluczowe

EN

trigonometric series; set theory

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Wiadomości Matematyczne
• Rocznik: 2012
• Tom: T. 48, Nr 2
• Strony: 109--118
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kechris A. S.

• Department of Mathematics California Institute of Technology Pasadena, CA 91125 USA

Bibliografia

• [1] N. Bari, A Treatise on Trigonometric Series , Pergamon Press, 1964
• [2] R. Cooke, Uniqueness of Trigonometric Series and Descriptive Set Theory, 1870-1985, Arch, for History of Exact Sciences 45 (1993), no- 4, 281-334.
• [3] J.-P. Kahane, R. Salem, Ensembles Parfaits and Series Trigonomelrlques, Nauvelle edition, Hermann 1994.
• [4] A. S. Kechris, Classical Descriptive Set Theory, Springer 1995.
• [5] A. S. Kechris, A. Louveau, Descriptive Set Theory and the Structure of Sets of Uniqueness, Cambridge Univ. Press 1989.
• [6] A. S. Kechris, A. Louveau, Descriptive set theory and harmonic analysis, J. Symb. Logic 57 (1992). no. 2, 413-441.
• [7] R. Lyons, Seventy years ofRajchman measures, Kahane Special Volume, J. Fourier Analysis and Appl. (1995). 363-377.
• [8] A. Zygmund, Trigonometric series, 3rd ed., Cambridge Univ. Press 2003.