Titre :	the Analysis of linear partial differential operators. IV. : Fourier integral operators
Type de document :	texte imprimé
Auteurs :	Hörmander, Lars
Editeur :	Springer-Verlag
Année de publication :	1985
Collection :	Grundlehren der Mathematischen Wissenschaften num. 275
Importance :	vii - 352 p.
ISBN/ISSN/EAN :	978-0-387-13829-9
Langues :	Anglais
Catégories :	35-XX Partial differential equations:35-02 Research exposition (monographs, survey articles) 35-XX Partial differential equations:35SXX Pseudodifferential operators and other generalizations of partial differential operators :35S05 General theory of PsDO 47-XX Operator theory:47F05 Partial differential operators 47-XX Operator theory:47GXX Integral, integro-differential, and pseudodifferential operators 58-XX Global analysis, analysis on manifolds :58JXX Partial differential equations on manifolds; differential operators :58J32 Boundary value problems on manifolds 58-XX Global analysis, analysis on manifolds :58JXX Partial differential equations on manifolds; differential operators :58J40 Pseudodifferential and Fourier integral operators on manifolds 58-XX Global analysis, analysis on manifolds :58JXX Partial differential equations on manifolds; differential operators :58J50 Spectral problems; spectral geometry; scattering theory
Mots-clés :	asymptotic completeness  wave operators  limiting absorption principle  long range scattering  weyl formula  remainder estimate  distribution of the eigenvalues  spectral asymptotics  carleman estimates  cauchy problem  uniqueness  poisson brackets  subelliptic  microlocal characterization  microhypoelliptic  analytic structure  cauchy-riemann operator  twosided parametrices  global existence  propagation of singularities  principal type  lagrangian distributions  oscillatory integrals  maslov bundle  principal symbol  phase functions  representation  smoothness  localization  fourier integral operators
Index. décimale :	35C Monographie

the Analysis of linear partial differential operators. IV. : Fourier integral operators [texte imprimé] / Hörmander, Lars . - [S.l.] : Springer-Verlag, 1985 . - vii - 352 p.. - (Grundlehren der Mathematischen Wissenschaften; 275) .
ISBN : 978-0-387-13829-9
Langues : Anglais

Catégories :	35-XX Partial differential equations:35-02 Research exposition (monographs, survey articles) 35-XX Partial differential equations:35SXX Pseudodifferential operators and other generalizations of partial differential operators :35S05 General theory of PsDO 47-XX Operator theory:47F05 Partial differential operators 47-XX Operator theory:47GXX Integral, integro-differential, and pseudodifferential operators 58-XX Global analysis, analysis on manifolds :58JXX Partial differential equations on manifolds; differential operators :58J32 Boundary value problems on manifolds 58-XX Global analysis, analysis on manifolds :58JXX Partial differential equations on manifolds; differential operators :58J40 Pseudodifferential and Fourier integral operators on manifolds 58-XX Global analysis, analysis on manifolds :58JXX Partial differential equations on manifolds; differential operators :58J50 Spectral problems; spectral geometry; scattering theory
Mots-clés :	asymptotic completeness  wave operators  limiting absorption principle  long range scattering  weyl formula  remainder estimate  distribution of the eigenvalues  spectral asymptotics  carleman estimates  cauchy problem  uniqueness  poisson brackets  subelliptic  microlocal characterization  microhypoelliptic  analytic structure  cauchy-riemann operator  twosided parametrices  global existence  propagation of singularities  principal type  lagrangian distributions  oscillatory integrals  maslov bundle  principal symbol  phase functions  representation  smoothness  localization  fourier integral operators
Index. décimale :	35C Monographie