Microlocal analysis

DOI10.2977/prims/1195182018zbMath0536.58030OpenAlexW4243153348MaRDI QIDQ5896298

Takahiro Kawai, Masaki Kashiwara

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182018

zbMATH Keywords

microfunctionsmicrodifferential operatorsholonomic systems with regular singularitieslocal monodromies

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items

HolonomicD-modules of Fuchsian and logarithmic types ⋮ On a class of linear differential operators of infinite order with finite index ⋮ Microlocalisation of $\cal{D}$-modules along a submanifold ⋮ Singular invariant hyperfunctions on the space of real symmetric matrices ⋮ Topological boundary values and regular \(\mathcal D\)-modules ⋮ La transformation de Fourier pour les \({\mathcal D}\)-modules. (Fourier transform for \({\mathcal D}\)-modules)

Cites Work

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• Invertibility of microdifferential operators of infinite order
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• Fourier integral operators. II
• The Integrability of the Characteristic Variety
• Finiteness theorem for holonomic systems of micro-differential equations
• Seminar on Micro-Local Analysis. (AM-93)
• The integrability of characteristics