Modern Fourier Analysis

This text is addressed to graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type, an...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Grafakos, Loukas (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2014.
Edition:3rd ed. 2014.
Series:Graduate Texts in Mathematics,
Subjects:
Online Access:http://dx.doi.org/10.1007/978-1-4939-1230-8
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Table of Contents:
  • Preface
  • Smoothness and Function Spaces
  • BMO and Carleson Measures
  • Singular Integrals of Nonconvolution Type
  • Weighted Inequalities
  • Boundedness and Convergence of Fourier Integrals
  • Time-Frequency Analysis and the Carleson-Hunt Theorem
  • Multilinear Harmonic Analysis
  • Glossary
  • References
  • Index.