Lars Hormander

The analysis of linear partial differential operators IV : fourier integral operators - Heidelberg, Springer-Verlag: [c2009] - 351 p. - Mathematical Subject Classification .

Introduction
Ch 25. Lagrangian Distributions and Fourier Integral Operators
Ch 26. Pseudo-Differential Operators of Principal Type
Ch 27. Subelliptic Operators
Ch 28. Uniqueness for the Cauchy Problem
Ch 29. Spectral Asymptotics
Ch 30. Long Range Scattering Theory

"Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987"This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987.---Summary provided by publisher

9783642001178

QA329.6