This authoritative text studies pseudo-differential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of Gabor representations for certain classes of dispersive equations. Moreover, modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and Klein-Gordon equations.
A comprehensive text on the time-frequency analysis of operators
Provides an overview of the subject by two leading experts in operator theory
Stresses the application part, including numerical aspects and nonlinear equations
Elena Cordero and
Luigi Rodino, University of Turin, Italy.