Classical Fourier Analysis by Loukas Grafakos

Classical Fourier Analysis by Loukas Grafakos

The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. The only prerequisite for understanding the text is completion of a course in measure theory, Lebesgue integration, and complex variables.

From a reviews:

“Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideasIt 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

From the reviews of the second edition:

"The author … has produced a very well-written, polished, and exciting graduate textbook which easily doubles as a reference book in a number of areas belonging to or touching on Fourier analysis. … Classical Fourier Analysis also comes equipped with a wealth of exercise … and each chapter is capped off by a wonderful ‘Historical Notes’ … . I think it’s nigh-on indispensable for the aspiring Fourier analyst." (Michael Berg, MAA Online, January, 2009)

“Intended for graduate students who wish to study Fourier analysis. … also suitable for self-study. Proofs are provided in great detail. Each chapter is followed by historical notes with references, often including a discussion of further results. There are numerous exercises of varying difficulty, with hints and references provided for the harder ones. … certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises.”­­­ (Andreas Seeger, Mathematical Reviews, Issue 2011 c)

“This book is intended to present the selected topics in depth and to stimulate further study in Fourier analysis. … proofs are provided in great detail and a large amount of exercises of varying difficulty were carefully prepared by the author … . This book is very interesting and useful. It is not only a good textbook, but also an indispensable and valuable reference for researchers … . The readers will certainly benefit a lot from the detailed proofs and the numerous exercises.” (Yang Dachun, Zentralblatt MATH, Vol. 1220, 2011)

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

SKU	Nicht verfügbar
ISBN 13	9781441918550
ISBN 10	1441918558
Titel	Classical Fourier Analysis
Autor	Loukas Grafakos
Serie	Graduate Texts In Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer-Verlag New York Inc.
Erscheinungsjahr	2010-11-19
Seitenanzahl	492
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar