02583nam a22003858a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002300195082001800218100003600236245010700272246006500379260005200444264005200496300005900548336002600607337002600633338003600659490006300695500007300758520113100831650002701962650001901989700002902008776003502037786001402072830006402086856004702150CR9780511758850UkCbUP20160624102256.0m|||||o||d||||||||cr||||||||||||100430s1987||||enk s ||1 0|eng|d a9780511758850 (ebook) z9780521358118 (paperback) aUkCbUPcUkCbUPerda00aQA248 b.K388 198700a515/.24332191 aKechris, Alexander S.,eauthor.10aDescriptive Set Theory and the Structure of Sets of Uniqueness /cAlexander S. Kechris, Alain Louveau.3 aDescriptive Set Theory & the Structure of Sets of Uniqueness 1aCambridge :bCambridge University Press,c1987. 1aCambridge :bCambridge University Press,c1987. a1 online resource (380 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 128 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aThe 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. 0aDescriptive set theory 0aFourier series1 aLouveau, Alain,eauthor.08iPrint version: z9780521358118 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 128.40uhttp://dx.doi.org/10.1017/CBO9780511758850