Classical Fourier Analysis

Classical Fourier Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 494
Release :
ISBN-10 : 9780387094328
ISBN-13 : 0387094326
Rating : 4/5 (326 Downloads)

Book Synopsis Classical Fourier Analysis by : Loukas Grafakos

Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online


Classical Fourier Analysis Related Books

Classical Fourier Analysis
Language: en
Pages: 494
Authors: Loukas Grafakos
Categories: Mathematics
Type: BOOK - Published: 2008-09-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 m
Fourier Integrals in Classical Analysis
Language: en
Pages: 250
Authors: Christopher Donald Sogge
Categories: Mathematics
Type: BOOK - Published: 1993-02-26 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

An advanced monograph concerned with modern treatments of central problems in harmonic analysis.
Classical and Multilinear Harmonic Analysis
Language: en
Pages: 341
Authors: Camil Muscalu
Categories: Mathematics
Type: BOOK - Published: 2013-01-31 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.
Fourier Analysis
Language: en
Pages: 248
Authors: Javier Duoandikoetxea Zuazo
Categories: Mathematics
Type: BOOK - Published: 2001-01-01 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderó
Fourier Analysis and Approximation of Functions
Language: en
Pages: 610
Authors: Roald M. Trigub
Categories: Mathematics
Type: BOOK - Published: 2004-09-07 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and