Modern Fourier Analysis: Edition 3

Name: Modern Fourier Analysis: Edition 3
Rating: 4 (2 reviews)

Loukas Grafakos

Nov 2014 · Graduate Texts in Mathematics Book 250 · Springer

4.0

2 reviews

Ebook

624

Pages

Ratings and reviews aren’t verified Learn More

About this ebook

The primary goal of this book is to present the theoretical foundation of the field of Euclidean Harmonic analysis. This book is Modern in that is contains more recent topics such as function spaces, atomic decompositions, singular integrals of nonconvolution type, and weighted inequalities. This book is mainly addressed to graduate students in mathematics. The prerequisites are satisfactory completion of courses in real and complex variables, and knowledge of classical Fourier analysis topics. This book is intended to present the selected topics in depth and stimulate further study.

This third edition includes a new chapter entitled "Multilinear Harmonic Analysis", which includes sections on multilinear operators, multilinear interpolation, multilinear multiplier operators, Calderón-Zygmund operators of several functions, and multiple weights and weighted norm inequalities. The new chapter will tie nicely with the material in chapters 8, 9, and 10, and the author may add a new section in this chapter applying the techniques of chapter 11 in the context of multilinear harmonic analysis.

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.

Ratings and reviews

4.0

2 reviews

Anil Das

February 3, 2021

AAA

About the author

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

Rate this ebook

Tell us what you think.

Reading information

Smartphones and tablets

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

Laptops and computers

You can listen to audiobooks purchased on Google Play using your computer's web browser.

eReaders and other devices

To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.

Report illegal content