000			01989nam a2200337Ia 4500
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020			_a9781493939169
040			_cIISER-BPR
082			_a515.2433 _bGRA _223rd
100			_aGrafakos, L.
222			_aMathematics
245		0	_aClassical fourier analysis
250			_a3rd ed.
260			_aNew York: _bSpringer, _cc2014
300			_axvii, 638p. : _bill, pbk. ; _c24cm
440			_aGraduate Texts in Mathematics _vVol. 249
520			_aThe main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes several new Sections well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references. Also includes illustrations, glossary, bibliographic references and subject index.
650			_aFourier Analysis
650			_aInterpolation
650			_aFourier series
650			_aFourier transform
650			_aMaximal functions
650			_aSingular integrals
650			_aLittlewood–Paley theory
942			_cBK _2ddc
942			_2ddc
947			_a6232.6095
948			_a0.22
999			_c4089 _d4089