000			02148nam a22002417a 4500
005			20230301154528.0
008			230301b |||||||| |||| 00| 0 eng d
020			_a9788132204060
028			_a: Donated by Prof. Amber Habib.
082			_a515.2433 GRA
100			_aGrafakos, Loukas.
245			_a Classical Fourier analysis. _c/ Loukas Grafakos.
260			_a, New York _b: Springer _c, 2008.
300			_axvi, 489 pages _b: illustrations _c:24cm.
365			_bDonated
520			_a"The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edition contains a new chapter on time-frequency analysis and the Carleson-Hunt theorem. The first volume contains the classical topics such as Interpolation, Fourier Series, the Fourier Transform, Maximal Functions, Singular Integrals, and Littlewood-Paley Theory. The second volume contains more recent topics such as Function Spaces, Atomic Decompositions, Singular Integrals of Nonconvolution Type, and Weighted Inequalities. These volumes are mainly addressed to graduate students in mathematics and are designed for a two-course sequence on the subject with additional material included for reference. The prerequisites for the first volume are satisfactory completion of courses in real and complex variables. The second volume assumes material from the first. This book is intended to present the selected topics in depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables."
650			_aFourier Analysis
650			_aFourier-analyse
650			_aMATHEMATICS Infinity
650			_aLeermiddelen (vorm)
700			_aLoukas Grafakos.
942			_cBOOK
999			_c60000 _d60000