Convolution equations and spaces of ultradifferential functions

DOI10.1007/BF02764877zbMath0605.32001OpenAlexW2023424070MaRDI QIDQ1084234

Daniele C. Struppa

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764877

zbMATH Keywords

Cauchy problemconvolution equationgrowth conditionsquasianalyticityanalytically uniform spacesAU-spacesspace of ultradifferentiable functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Linear operators on function spaces (general) (47B38) Entire functions of several complex variables (32A15)

Cites Work

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• Interpolation problems in \(C^ n\) with applications to harmonic analysis
• The Cauchy problem for convolution operators. Uniqueness
• Linear partial differential operators and generalized distributions
• A seminorm topology for some (DF)-spaces of entire functions
• Analytically uniform spaces and their applications to convolution equations
• Sur quelques extensions de la notion de distribution
• Uniqueness of the Cauchy problem for convolution equations.

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