Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition by Loukas Grafakos | (PDF) Free Download

Description

The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study.This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book works out many calculations that are seldom given and usually brushed off as routine calculations: things like spherical surface measure in n-dimensions, integrals involving Bessel functions, formulas for derivatives and Fourier transforms of tempered distributions, or properties of the Riesz transform. These are routine once you are familiar with them, but even then they take time and careful attention when doing changes of variables, and it is nice to have this calculations worked out. Usually when I do any calculation involving spherical surface measure I will check Grafakos.Aside from the fundamental material on the Fourier transform of Schwartz functions and of tempered distributions, the Riesz-Thorin interpolation theorem, and Fourier analysis on the n-dimensional torus, there is a good chapter on singular integral operators. There are in fact few books that present singular integral operators, and as an introduction to this topic Grafakos is better than Stein’s “Singular Integrals and Differentiability Properties of Functions” and Muscalu and Schlag’s “Classical and Multilinear Harmonic Analysis”. There is a chapter on Littlewood-Paley theory. Sobolev spaces do not appear in this volume, but do appear in the next volume, “Modern Fourier Analysis”, which also covers Besov spaces, which is a rare treat.Grafakos doesn’t cover harmonic analysis on spheres, where words like the spherical Laplacian and solid spherical harmonics appear. Probably this is best fitted into the theory of Lie groups and homogeneous spaces, because the sphere in R^n is a homogeneous space and is not a locally compact abelian group.

⭐I will not comment anything about the book but the seller. I asked the seller personally before ordering the book that if this is hardcover ( as the seller written) or not and if the price can be reduced but he confidently replied me it was a hardcover and no price will be reduced so i bought this but I got a cheeeap paperback edition with lot of misprints in some pages , bad ink quality, bad page quality, and after all these, page no 52 is teared at one side. And i know Amazon will not public this comment as they want always to hide their and the seller’s mischievous behaviours.

⭐A good source of fundamental topics of Fourier analysis that can be used both by students, to deepen further into the subject, and by professors, to prepare the lectures for a course concerning fundamental aspects of Fourier Analysis.

⭐Detailed, easy to understand, recommend for students. If you teach by using this book, students will be grateful, I think.

⭐L’auteur explore tous les fondamentaux de l’analyse de Fourier.On apprécie particulièrement la grande diversité des démonstrations présentes dans l’ouvrage.

Keywords

Free Download Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition in PDF format
Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition PDF Free Download
Download Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition 2014 PDF Free
Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition 2014 PDF Free Download
Download Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition PDF
Free Download Ebook Classical Fourier Analysis (Graduate Texts in Mathematics Book 249) 3rd Edition