Linear Differential equations of infinite order and theta functions

DOI10.1016/0001-8708(83)90076-2zbMath0546.35047OpenAlexW2040624635MaRDI QIDQ798520

Mikio Sato, Takahiro Kawai, Masaki Kashiwara

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0001-8708(83)90076-2

zbMATH Keywords

theta functionsfiniteness theoremholomorphic solutionsJacobi structureJacobi functionstheta-zerovaluedifferential equations of infinite order

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Other special functions (33E99) 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, On Two Lacunary Series and Modular Curves, On the geometry of differential equations associated with the theta-zerovalue, An example of a complex of linear differential operators of infinite order, Calcul exponentiel des opérateurs microdifférentiel d'ordre infini. I, Finite and infinite order differential relations for theta functions, Differential equations with infinitely many derivatives and the Borel transform, Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini

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