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Classical Fourier 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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Grafakos, Loukas (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Springer, 2008.
Édition:2nd ed. 2008.
Collection:Graduate Texts in Mathematics, 249
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • 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.