Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

by 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.

Genres: Mathematics

716 pages, Hardcover

First published July 12, 1993

Reviews

[Joe Cole · Rating 5 out of 5]

This textbook includes most of the topics in harmonic analysis which have been researched extensively during the last 20 years. Fourier transform, almost orthogonality, oscillatory integrals, maximal operators, etc.
Good college textbook