Differential Operators on Manifolds

Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory in differential geometry.- E.M. Stein: Singular integral operators and nilpotent groups.- Seminars: P. Malliavin: Diffusion et géométrie différentielle globale.- S. Helgason: Solvability of invariant differential operators on homonogeneous manifolds.

From the reviews:

"There are at least two groups of mathematicians for whom the book under review is bound to be all ... insiders with an interest in how their subject has evolved over the last quarter century or so - in view of the state of the art in 1975 -, and outsiders who have a need for a road map of sorts into at least major parts of this very highly developed subject." (Michael Berg, The Mathematical Association of America, January, 2011)