Title | New Trends in Microlocal Analysis [electronic resource] / edited by Jean-Michel Bony, Mitsuo Morimoto |
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Imprint | Tokyo : Springer Japan, 1997 |
Connect to | http://dx.doi.org/10.1007/978-4-431-68413-8 |
Descript | VIII, 242 p. online resource |
I. Partial Differential Equations and Mathematical Analysis -- Fourier Integral Operators and Weyl-Hรถrmander 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 Painlevรฉ 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 โ 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 -- Kashiwaraโs microlocal analysis of the Bergman kernel for domains with corner