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

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.

Awards and Recognition

• Elias M. Stein, Winner of the 2005 Stefan Bergman Prize, American Mathematical Society
• Elias M. Stein, Winner of the 1998 Wolf Prize for Mathematics, the Wolf Foundation