Real-Variable Methods, Orthogonality, and Oscillatory Integrals
By (author) Elias M. Stein
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Harmonic Analysis by Elias M. Stein
Book DescriptionThis book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
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Book DetailsISBN: 9780691032160
(229mm x 152mm x 49mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 12-Jul-1993
Country of Publication: United States
Books By Author Elias M. Stein
Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems, Paperback (February 2015)
Functional Analysis, Hardback (September 2008)» View all books by Elias M. Stein
Beginning with the basic facts of functional analysis, this title looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. It uses the Baire category theorem to illustrate several points, including the existence of Besicovitch sets.
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