Existence and continuation of holomorphic solutions of differential equations of infinite order

DOI10.1016/0001-8708(88)90030-8zbMath0702.35253OpenAlexW1963559508MaRDI QIDQ915026

Takashi Aoki

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0001-8708(88)90030-8

zbMATH Keywords

existenceanalytic continuationinvertibility theoremprolongation theorem

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Pseudodifferential operators and other generalizations of partial differential operators (35S99) PDEs of infinite order (35R50)

Related Items (2)

The existence and the continuation of holomorphic solutions for convolution equations in tube domains ⋮ Non-local pseudo-differential operators

Cites Work

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• HOMOMORPHISMES DU FAISCEAU DES GERMES DE FONCTIONS HOLOMORPHES DANS LUIMEME ET OPÉRATEURS DIFFÉRENTIELS
• Équations différentielles d'ordre infini
• Prolongement des solutions d'une équation aux dérivées partielles à coefficients constants

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