An example of a complex of linear differential operators of infinite order

DOI10.3792/pjaa.59.113zbMath0525.35082OpenAlexW2093181435MaRDI QIDQ594295

Takahiro Kawai

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.113

zbMATH Keywords

fundamental principlecomplex of linear differential operators of infinite orderstructure of cohomology groupstheta-zerovalue

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Other special functions (33E99) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Pseudodifferential operators and other generalizations of partial differential operators (35S99) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Related Items

On a class of linear differential operators of infinite order with finite index ⋮ Existence and continuation of holomorphic solutions of differential equations of infinite order

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Linear Differential equations of infinite order and theta functions
• Équations différentielles d'ordre infini
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