The Fabry-Ehrenpreis gap theorem for hyperfunctions

DOI10.3792/pjaa.60.276zbMath0554.46017OpenAlexW1974840153MaRDI QIDQ759965

Takahiro Kawai

Publication date: 1984

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.60.276

zbMATH Keywords

linear differential operators of infinite orderFabry-Ehrenpreis gap theoremhyperfunction given by a suitably lacunary Fourier series

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Fourier series and coefficients in several variables (42B05) General topics in partial differential equations (35A99)

Related Items (2)

On a class of linear differential operators of infinite order with finite index ⋮ Leon Ehrenpreis, a Unique Mathematician

Cites Work

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• The exponential calculus of microdifferential operators of infinite order. V
• On a class of linear differential operators of infinite order with finite index
• Micro-hyperbolic systems
• The Fabry-Ehrenpreis Gap Theorem and Linear Differential Equations of Infinite Order

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