000			01880 a2200253 4500
999			_c54417 _d54417
008			210324b ||||| |||| 00| 0 eng d
020			_a9781107031821
082			_a515.2422 _bMUS
100			_aMuscalu, Camil
245			_aClassical and multilinear harmonic analysis, Vol.2
260			_bCambridge University Press, _c2013. _aCambridge:
300			_axvi, 324p. : ill.; _bhb. ; _c24 cm.
365			_aGBP _b47.99
440			_aCambridge studies in advanced mathematics ; 137
504			_aIncludes bibliographical references and index.
520			_aThis 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			_aHarmonic analysis
650			_aMathematical analysis
650			_aMathematics
650			_aPoisson kernel
650			_a Classical paraproducts
700			_aSchlag, Wilhelm
942			_2ddc _cTD