000 02522nam a22003738i 4500
001 CR9780511758850
003 UkCbUP
005 20200124160241.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100430s1987||||enk o ||1 0|eng|d
020 _a9780511758850 (ebook)
020 _z9780521358118 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA248
_b.K388 1987
082 0 0 _a511.3/22
_219
100 1 _aKechris, A. S.,
_d1946-
_eauthor.
245 1 0 _aDescriptive set theory and the structure of sets of uniqueness /
_cAlexander S. Kechris and Alain Louveau.
246 3 _aDescriptive Set Theory & the Structure of Sets of Uniqueness
264 1 _aCambridge :
_bCambridge University Press,
_c1987.
300 _a1 online resource (367 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v128
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _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.
650 0 _aDescriptive set theory.
650 0 _aFourier series.
700 1 _aLouveau, Alain,
_eauthor.
776 0 8 _iPrint version:
_z9780521358118
830 0 _aLondon Mathematical Society lecture note series ;
_v128.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511758850
999 _c518547
_d518545