New Trends in Microlocal Analysis

I. Partial Differential Equations and Mathematical Analysis.- Fourier Integral Operators and Weyl-Hörmander Calculus.- The Wick calculus of pseudo-differential operatros and energy estimates.- Eigen functions of the Laplacian of exponential type.- Wavelet transforms and operators in various function spaces.- Charcteristic Cauchy Problems in the complex domain.- Stokes Operators for microhyperbolic equations.- II. Mathematical Physics.- Instanton-typc formal solutions to the second Painlevé equations with a large parameter.- Pseudodifferential and Fourier integral operators in scattering theory.- On infrared singularities.- The Navier-Stokes equation with distributions as initial data and application to self-similar solutions.- Bloch function in an external electric field and Berry-Buslaev phase.- III. Algebraic Analysis — D-modules and Sheave Theory.- An Application of symbol calculus.- Elliptic boundary value problems in the space of distributions.- On the holonomic character of the elementary solution of a partial differential operator.- Kernel calculus and extension of contact transformations to D-Modules.- Microfunction solutions of holonomic systems with irregular singularities.- Some algorithmic aspects of the P-module theory.- On higher-codimensional boundary value problems.- Kashiwara’s microlocal analysis of the Bergman kernel for domains with corner.