TitleNew Trends in Microlocal Analysis [electronic resource] / edited by Jean-Michel Bony, Mitsuo Morimoto
ImprintTokyo : Springer Japan, 1997
Connect tohttp://dx.doi.org/10.1007/978-4-431-68413-8
Descript VIII, 242 p. online resource

CONTENT

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


SUBJECT

  1. Mathematics
  2. Topological groups
  3. Lie groups
  4. Mathematical analysis
  5. Analysis (Mathematics)
  6. Mathematics
  7. Topological Groups
  8. Lie Groups
  9. Analysis