Cyclic vectors and invariant subspaces of the backward shift operator in Schwartz modules

DOI10.1134/S0016266322030030MaRDI QIDQ2696648

Sergej N. Melikhov, Olga A. Ivanova

Publication date: 17 April 2023

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

invariant subspacebackward shift operatorcyclic vectorDuhamel productSchwartz module

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

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• Spectral synthesis in the Schwartz space of infinitely differentiable functions
• Subspaces of \(C^\infty\) invariant under the differentiation
• Closed ideals in \(C^\infty\) with the Duhamel product as multiplication
• Derivation-invariant subspaces of \(C^{\infty}\)
• Remarks on Holmgren's uniqueness theorem
• On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• On invariant subspaces of the Pommiez operator in the spaces of entire functions of exponential type
• Théorie des hyperfonctions
• On operators commuting with a Pommiez type operator in weighted spaces of entire functions
• The Commutant of the Pommiez Operator in a Space of Entire Functions of Exponential Type and Polynomial Growth on the Real Line
• Convolution approximation and shift approximation

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