Classical Fourier Analysis

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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 F...
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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 ismainly 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 Jacksons 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.
Uitgever Springer Verlag
Druk 3
ISBN/EAN 9781493911936
Auteur Grafakos, l.
Vakken Wiskunde

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