000			03039cam a2200313 a 4500
999			_c526 _d526
001			16826580
003			OSt
005			20180111182909.0
008			110614s2011 njua b 001 0 eng
010			_a 2011020971
020			_a9780691113876 (pbk : alk. paper)
040			_aDLC _cIISER-BPR _dDLC
042			_apcc
050	0	0	_aQA320 _b.S839 2011
082	0	0	_a515.7 _223rd _bSTE/F
084			_aMAT037000 _2bisacsh
100	1		_aStein, Elias M.,
222			_aMathematics
245	1	0	_aFunctional analysis: introduction to further topics in analysis / _c[by] Elias M. Stein & Rami Shakarchi.
260			_aPrinceton : _bPrinceton University Press, _cc2011.
300			_axv, 423 p. : _bill. ; _c24 cm.
490	0		_aPrinceton lectures in analysis ; _v4
504			_aIncludes bibliographical references (p.409-416) and index.
520			_a"This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject. A comprehensive and authoritative text that treats some of the main topics of modern analysis. A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables. Key results in each area discussed in relation to other areas of mathematics. Highlights the organic unity of large areas of analysis traditionally split into subfields. Interesting exercises and problems illustrate ideas. Clear proofs provided" --
520			_a"This book covers such topics as Lp spaces, distributions, Baire category, probability theory and Brownian motion, several complex variables and oscillatory integrals in Fourier analysis. The authors focus on key results in each area, highlighting their importance and the organic unity of the subject"--
650		0	_aFunctional analysis.
650		7	_aMATHEMATICS
700	1		_aShakarchi, Rami.
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK