### Download PDF by Loukas Grafakos: Classical Fourier Analysis

By Loukas Grafakos

ISBN-10: 0387094318

ISBN-13: 9780387094311

ISBN-10: 0387094326

ISBN-13: 9780387094328

The basic aim of this article is to offer the theoretical origin of the sector of Fourier research. This publication is principally addressed to graduate scholars in arithmetic and is designed to serve for a three-course series at the topic. the single prerequisite for figuring out the textual content is passable finishing touch of a path in degree concept, Lebesgue integration, and complicated variables. This ebook is meant to offer the chosen subject matters in a few intensity and stimulate extra research. even supposing the emphasis falls on actual variable equipment in Euclidean areas, a bankruptcy is dedicated to the basics of research at the torus. This fabric is incorporated for ancient purposes, because the genesis of Fourier research are available in trigonometric expansions of periodic services in numerous variables.

While the first variation was once released as a unmarried quantity, the hot version will comprise one hundred twenty pp of latest fabric, with an extra bankruptcy on time-frequency research and different glossy subject matters. therefore, the e-book is now being released in 2 separate volumes, the 1st quantity containing the classical issues (Lp areas, Littlewood-Paley thought, Smoothness, etc...), the second one quantity containing the trendy subject matters (weighted inequalities, wavelets, atomic decomposition, etc...).

From a evaluate of the 1st edition:

“Grafakos’s e-book is particularly straightforward with quite a few examples illustrating the definitions and ideas. it truly is superior for readers who are looking to get a think for present study. The therapy is carefully sleek with unfastened use of operators and sensible research. Morever, in contrast to many authors, Grafakos has sincerely spent loads of time getting ready the exercises.” - Ken Ross, MAA Online