Harmonic Analysis (PMS-43), Volume 43
Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43)
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.

First published in 1993.

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