Fourier Integral Operators

From the reviews:

This book remains a superb introduction to the theory of Fourier integral operators. While there are further advances discussed in other sources, this book can still be recommended as perhaps the very best place to start in the study of this subject.

—SIAM Review

This book is still interesting, giving a quick and elegant introduction to the field, more adapted to nonspecialists.

—Zentralblatt MATH

The book is completed with applications to the Cauchy problem for strictly hyperbolic equations and caustics in oscillatory integrals. The reader should have some background knowledge in analysis (distributions and Fourier transformations) and differential geometry. 

—Acta Sci. Math.

“Duistermaat’s Fourier Integral Operators had its genesis in a course the author taught at Nijmegen in 1970. … For the properly prepared and properly disposed mathematical audience Fourier Integral Operators is a must. … it is a very important book on a subject that is both deep and broad.” (Michael Berg, The Mathematical Association of America, May, 2011)