On a class of linear differential operators of infinite order with finite index

DOI10.1016/0001-8708(86)90098-8zbMath0628.35003OpenAlexW2004457394MaRDI QIDQ1093081

Takahiro Kawai, Takashi Aoki, Masaki Kashiwara

Publication date: 1986

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90098-8

zbMATH Keywords

index theoryinfinite ordermicrodifferential operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

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Newton polygons and formal Gevrey classes, Quantized contact transformations and pseudodifferential operators of infinite order, On the geometry of differential equations associated with the theta-zerovalue, Microlocalisation tempérée, Existence and continuation of holomorphic solutions of differential equations of infinite order, Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order, The Fabry-Ehrenpreis gap theorem for hyperfunctions

Cites Work

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