Harmonic Analysis (PMS-43), Volume 43 : : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / / Elias M. Stein.

• Superior document: Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
• VerfasserIn: Stein, Elias M.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1993
• Year of Publication: 2016
• Language: English
• Series: Princeton Mathematical Series ; 43
• Physical Description: 1 online resource (712 p.) :; 18 line illus.
• Other title: Frontmatter --; Contents --; Preface --; Guide to the Reader --; Prologue --; I. Real-Variable Theory --; II. More about Maximal Functions --; III. Hardy Spaces --; IV. H1 and BMO --; V. Weighted Inequalities --; VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform --; VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality --; VIII. Oscillatory Integrals of the First Kind --; IX. Oscillatory Integrals of the Second Kind --; X. Maximal Operators: Some Examples --; XI. Maximal Averages and Oscillatory Integrals --; XII. Introduction to the Heisenberg Group --; XIII. More about the Heisenberg Group --; Bibliography --; Author Index --; Subject Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400883929; 9783110501063; 9783110442496
• DOI: 10.1515/9781400883929
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Elias M. Stein.

This 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.