On invariant subspaces of the Pommiez operator in the spaces of entire functions of exponential type

DOI10.1007/s10958-019-04461-0OpenAlexW2967181049WikidataQ115603696 ScholiaQ115603696MaRDI QIDQ2331425

Sergej N. Melikhov, Olga A. Ivanova

Publication date: 29 October 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04461-0

zbMATH Keywords

invariant subspaceentire function of exponential typePommiez operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (5)

Invariant subspaces of the generalized backward shift operator and rational functions ⋮ Some applications of the \(\alpha\)-Duhamel product ⋮ Difference and primitive operators on the Dunkl-type Fock SPACE \(\mathscr{F}_{\alpha }(\mathbb{C}^d)\) ⋮ Cyclic vectors and invariant subspaces of the backward shift operator in Schwartz modules ⋮ On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions

Cites Work

• On the completeness of orbits of a Pommiez operator in weighted (LF)-spaces of entire functions
• Sur la topologie des espaces de fonctions holomorphes
• The dual of the space of holomorphic functions on locally closed convex sets
• 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
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