The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators

✍ Scribed by Lars Hörmander (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2009
• Tongue: English
• Leaves: 361
• Series: Classics in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

From the reviews:

"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

✦ Table of Contents

Front Matter....Pages 1-9
Introduction....Pages 1-2
Lagrangian Distributions and Fourier Integral Operators....Pages 1-51
Pseudo Differential operators of principal type....Pages 1-111
Subelliptic operators....Pages 1-55
Uniqueness for the Cauchy problem....Pages 1-29
Spectral Asymptotics....Pages 1-27
Long range scattering theory....Pages 1-56
Back Matter....Pages 1-21

✦ Subjects

Analysis