000			03359cam a2200385 i 4500
001			20100
003			CUTN
005			20151229170334.0
008			120814s2013 enka b 001 0 eng
010			_a 2012024828
020			_a9780521882453 (v. 1 : hardback)
020			_a0521882451 (v. 1 : hardback)
020			_a9781107031821 (v. 2 : hardback)
020			_a1107031826 (v. 2 : hardback)
020			_a1107032628 (set)
040			_aDLC _beng _cDLC _erda _dDLC
042			_apcc
050	0	0	_aQA403 _b.M87 2013
082	0	0	_a515/.2422 _223
084			_aMAT034000 _2bisacsh
100	1		_aMuscalu, Camil, _eauthor.
245	1	0	_aClassical and Multilinear Harmonic Analysis / _cCamil Muscalu , Cornell University, Wilhelm Schlag, University of Chicago.
300			_a2 volumes : _billustrations ; _c24 cm.
490	0		_aCambridge studies in advanced mathematics ; _v137-138
504			_aIncludes bibliographical references and indexes.
505	0		_av.1. Fourier series: convergence and summability ; Harmonic functions; Poisson kernel ; Conjugate harmonic fuctions; Hilbert transform ; The Fourier transform on R[superscript d] and on LCA groups ; Introduction to probability theory ; Fourier series and randomness ; Calderâon-Zygmund theory of singular integrals ; Littlewood-Paley theory ; Almost orthogonality ; The uncertainty principle ; Fourier restriction and applications ; Introduction to the Weyl calculus -- v. 2. Leibnitz rules and the generalized Korteweg-de Vries equation ; Classical paraproducts ; Paraproducts on polydisks ; Calderâon commutators and the Cauchy integral on Lipschitz curves ; Iterated Fourier series and physical reality ; The bilinear Hilbert transform ; Almost everywhere convergence of Fourier series ; Flag paraproducts ; Appendix: multilinear interpolation.
520			_a"This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained, and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary, and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman-Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form"--
650		0	_aHarmonic analysis.
650		7	_aMATHEMATICS / Mathematical Analysis. _2bisacsh
700	1		_aSchlag, Wilhelm, _d1969- _eauthor.
856	4	2	_3Cover image _uhttp://assets.cambridge.org/97805218/82453/cover/9780521882453.jpg
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBOOKS
999			_c16029 _d16029