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OverviewThis 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. Full Product DetailsAuthor: Loukas GrafakosPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 3rd ed. 2014 Volume: 250 Dimensions: Width: 15.50cm , Height: 3.50cm , Length: 23.50cm Weight: 1.118kg ISBN: 9781493912292ISBN 10: 1493912291 Pages: 624 Publication Date: 14 November 2014 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsPreface.- 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.ReviewsThe most up-to-date account of the most important developments in the area. ... It has to be pointed out that the hard ones usually come with a good hint, which makes the book suitable for self-study, especially for more motivated students. That being said, the book provides a good reference point for seasoned researchers as well. (Atanas G. Stefanov, Mathematical Reviews, August, 2015) Author InformationLoukas Grafakos is a Professor of Mathematics at the University of Missouri at Columbia. Tab Content 6Author Website:Countries AvailableAll regions |