On commutant of differentiation and translation operators in weighted spaces of entire functions

DOI10.13108/2017-9-3-37zbMath1463.30126OpenAlexW2778932539MaRDI QIDQ5136705

Olga A. Ivanova, Yuriĭ Nikolaevich Melikhov, Sergej N. Melikhov

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa386

zbMATH Keywords

commutantdifferentiation operatortranslation operatorweighted space of entire functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

ON TOPOLOGICAL ALGEBRAS OF ANALYTIC FUNCTIONALS WITH A MULTIPLICATION DEFINED BY TRANSLATIONS, On multiplication of distributions generated by the Pommiez operator

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
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• Convolution equations in spaces of entire functions of exponential type
• General form of linear operators which commute with the operation of differentiation
• On operators commuting with a Pommiez type operator in weighted spaces of entire functions
• Analytic Solutions of Convolution Equations on Convex Sets with an Obstacle in the Boundary
• Équations différentielles d'ordre infini
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