TY - BOOK
AU - Kechris,Alexander S.
AU - Louveau,Alain
TI - Descriptive Set Theory and the Structure of Sets of Uniqueness
T2 - London Mathematical Society Lecture Note Series
SN - 9780511758850 (ebook)
AV - QA248 .K388 1987
U1 - 515/.2433 19
PY - 1987///
CY - Cambridge
PB - Cambridge University Press
KW - Descriptive set theory
KW - Fourier series
N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2 - 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
UR - http://dx.doi.org/10.1017/CBO9780511758850
ER -