Second-microlocalization and asymptotic expansions. (English) Zbl 0458.46027

Kashiwara, Masaki; Kawai, Takahiro

Complex analysis, microlocal calculus and relativistic quantum theory, Proc. Colloq., Les Houches 1979, Lect. Notes Phys. 126, 21-76 (1980).

For the entire collection see [Zbl 0428.00029].

MSC:

46F99	Distributions, generalized functions, distribution spaces
41A60	Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
81Q99	General mathematical topics and methods in quantum theory
58J99	Partial differential equations on manifolds; differential operators
30E15	Asymptotic representations in the complex plane
46F15	Hyperfunctions, analytic functionals

Keywords:

second-microlocalization; microlocal calculus; microlocalized space; complex manifold; sheaf of rings of operators; asymptotic expansion of microfunctions; holonomic system of micro-differential equations

Citations:

Zbl 0428.00029