Harmonic Analysis

Harmonic Analysis

Real-variable Methods, Orthogonality, and Oscillatory Integrals

by Timothy S. Murphy, Elias M. Stein

695 pages· 1993· ISBN 9780691032160

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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.

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