Common cyclic entire functions for partial differential operators

DOI10.1007/BF01195296zbMath0723.47044MaRDI QIDQ756690

Kit C. Chan

Publication date: 1990

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

common cyclic entire functions for partial differential operatorsexistence of a dense set of functionsFréchet space of all entire functions of N variablesnonscalar linear differential operator with constant coefficients

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Theoretical approximation in context of PDEs (35A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (4)

Common hypercyclic vectors for multiples of backward shift. ⋮ Cyclic behavior of holomorphic functions on a Runge region ⋮ Common cyclic vectors for the commutant of weighted differentiation ⋮ Operators with dense, invariant, cyclic vector manifolds

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Sequences of derivatives and normal families
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Unnamed Item

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