000			02225nam a22003738i 4500
001			CR9781316341186
003			UkCbUP
005			20200124160335.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			150203s2017||||enk o ||1 0|eng|d
020			_a9781316341186 (ebook)
020			_z9781107120075 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA404 _b.S64 2017
082	0	0	_a515/.723 _223
100	1		_aSogge, Christopher D. _q(Christopher Donald), _d1960-
245	1	0	_aFourier integrals in classical analysis / _cChristopher D. Sogge, The Johns Hopkins University.
250			_aSecond edition.
264		1	_aCambridge : _bCambridge University Press, _c2017.
300			_a1 online resource (xiv, 334 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v210
500			_aTitle from publisher's bibliographic system (viewed on 25 May 2017).
520			_aThis advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat-Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.
650		0	_aFourier series.
650		0	_aFourier integral operators.
650		0	_aFourier analysis.
776	0	8	_iPrint version: _z9781107120075
830		0	_aCambridge tracts in mathematics ; _v210.
856	4	0	_uhttps://doi.org/10.1017/9781316341186
999			_c522980 _d522978