Classical Fourier Analysis

• Κύριος συγγραφέας: Grafakos, Loukas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2008.
• Σειρά: Graduate Texts in Mathematics, 249
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Harmonic analysis.; Fourier analysis.; Functional analysis.; Analysis.; Fourier Analysis.; Abstract Harmonic Analysis.; Functional Analysis.

The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The original edition was published as a single volume, but due to its size, scope, and the addition of new material, the second edition consists of two volumes. The present edi...

Πίνακας περιεχομένων:

• Preface
• Lp Spaces and Interpolation
• Maximal Functions, Fourier Transform, and Distributions
• Fourier Analysis on the Torus
• Singular Integrals of Convolution Type
• Littlewood-Paley Theory and Multipliers
• Gamma and Beta Functions
• Bessel Functions
• Rademacher Functions
• Spherical Coordinates
• Some Trigonometric Identities and Inequalities
• Summation by Parts
• Basic Functional Analysis
• The Minimax Lemma
• The Schur Lemma
• The Whitney Decomposition of Open Sets in Rn
• Smoothness and Vanishing Moments
• Glossary
• References
• Index.