Harmonic Analysis

Real-Variable Methods, Orthogonality, and Oscillatory Integrals

Elias M. Stein (Autor)

Buch | Hardcover

712 Seiten

1993
Princeton University Press (Verlag)
978-0-691-03216-0 (ISBN)

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Contains an exposition of some of the main developments 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, and relations of curvature to maximal inequalities.

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.

Elias M. Stein is Professor of Mathematics at Princeton University.

PrefaceGuide to the ReaderPrologue3IReal-Variable Theory7IIMore About Maximal Functions49IIIHardy Spaces87IVH[superscript 1] and BMO139VWeighted Inequalities193VIPseudo-Differential and Singular Integral Operators: Fourier Transform228VIIPseudo-Differential and Singular Integral Operators: Almost Orthogonality269VIIIOscillatory Integrals of the First Kind329IXOscillatory Integrals of the Second Kind375XMaximal Operators: Some Examples433XIMaximal Averages and Oscillatory Integrals467XIIIntroduction to the Heisenberg Group527XIIIMore About the Heisenberg Group587Bibliography645Author Index679Subject Index685

Erscheint lt. Verlag	1.8.1993
Reihe/Serie	Princeton Mathematical Series
Zusatzinfo	18 line illus.
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 235 mm
Gewicht	1077 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-691-03216-5 / 0691032165
ISBN-13	978-0-691-03216-0 / 9780691032160
Zustand	Neuware