Classical Fourier Analysis (Graduate Texts in Mathematics #249) (Hardcover)

Classical Fourier Analysis (Graduate Texts in Mathematics #249) By Loukas Grafakos Cover Image
Possibly out of print. Email or call to check availability and price.


The primary goal of this book is to present the theoretical foundation of the field of Euclidean Harmonic analysis. This book contains the classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood-Paley theory. This book is mainly addressed to graduate students in mathematics. The prerequisites are satisfactory completion of courses in real and complex variables. This book is intended to present the selected topics in depth and stimulate further study.

This third edition includes a new chapter entitled "Topics on Fourier series," which includes sections on Gibbs phenomenon, summability methods and Jackson's theorem, Tauberian theorems, spherical Fourier inversion, and Fourier transforms on the line. The new chapter ties really well with the material in the existing chapter 3 "Fourier Analysis on the Torus" and will prepare the students for (the existing) chapter 4.

In addition to a new chapter, the third edition contains 1000 different corrections and improvements in the existing text, more examples and applications, new and more relevant hints for the existing exercises, about 20-30 new exercises in the existing chapters, and improved references.

About the Author

Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.

Product Details
ISBN: 9781493911936
ISBN-10: 1493911937
Publisher: Springer
Publication Date: November 19th, 2014
Pages: 638
Language: English
Series: Graduate Texts in Mathematics