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Classical Fourier Analysis [Repost]
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Classical Fourier Analysis (Graduate Texts in Mathematics) by Loukas Grafakos
English | 6 Oct. 2008 | ISBN: 0387094318 | 494 Pages | PDF | 3.48 MB
English | 6 Oct. 2008 | ISBN: 0387094318 | 494 Pages | PDF | 3.48 MB
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some 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.