000			a
999			_c1054 _d1054
003			OSt
005			20190917170244.0
008			190917b xxu||||| |||| 00| 0 eng d
020			_a9781107107359 (hbk.): _cUKP 57.99
040			_cIISER- BPR _dIISER- BPR223
082			_223rd _a515.2433 _bMAT/F
100			_aMattila, Pertti
222			_aMATHEMATICS
245			_aFourier Analysis and Hausdorff Dimension/ _c[by] Pretti Mattila
260			_aCambridge: _bCambridge University Press, _cc2015
300			_axiii, 440 p. ; _c24 cm.
490			_aCambridge studies in advanced mathematics; _v150
500			_aIncludes bibliogrpahical references andb index.
520			_a"During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection theorems and Falconer's distance set problem, and the role of Hausdorff dimension in modern Fourier analysis, especially in Kakeya methods and Fourier restriction phenomena. The discussion includes both classical results and recent developments in the area. The author emphasises partial results of important open problems, for example, Falconer's distance set conjecture, the Kakeya conjecture and the Fourier restriction conjecture. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics."--Back cover.
650			_aFourier transformations.
650			_aMeasure theory
650			_aMathematical analysis.
650			_aMathematics
942			_2ddc _cBK