Modern Fourier Analysis

Softcover Nachdruck of the original 3rd Auflage 2014
ISBN: 978-1-4939-5078-2
Verlag: Springer

Buch, Englisch, Band 250, 624 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 9533 g

Reihe: Graduate Texts in Mathematics

This text is aimed at 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 and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.

This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.

Zielgruppe

Graduate

Autoren/Hrsg.

Grafakos, Loukas

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

Loukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia.