Modern Fourier Analysis

• Main Author: Grafakos, Loukas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Edition: 3rd ed. 2014.
• Series: Graduate Texts in Mathematics, 250
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Functional analysis.; Fourier Analysis.; Abstract Harmonic Analysis.; Functional 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...

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.