Each non-zero convolution operator on the entire functions admits a continuous linear right inverse

DOI10.1007/BF01161635zbMath0618.32014MaRDI QIDQ1089138

B. Alan Taylor, Reinhold Meise

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183723

zbMATH Keywords

convolution operator on Fréchet spaces of entire functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (11)

Hypercyclic sequences of PDE-preserving operators ⋮ Complemented Submodules in Weighted Spaces of Analytic Functions ⋮ Analytic solutions of convolution equations on convex sets in the complex plane with an open obstacle on the boundary ⋮ The range of non-surjective convolution operators on Beurling spaces ⋮ A right inverse operator for a convolution operator ⋮ The splitting condition for the weighted \(\overline \partial\)-complex ⋮ Hypercyclic subspaces for Fréchet space operators ⋮ On the Dependence of Analytic Solutions of Partial Differential Equations on the Right-Hand Side ⋮ Linear topological invariants and splitting of closed ideals in weighted algebras of analytic functions on the disc ⋮ Operators with dense, invariant, cyclic vector manifolds ⋮ A critical growth rate for the pluricomplex Green function

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Interpolation problems in \(C^ n\) with applications to harmonic analysis
• Charakterisierung der Unterräume von \((s)\)
• Mean Periodic Functions: Part I. Varieties Whose Annihilator Ideals Are Principal
• Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
• Splitting of Closed Ideals in (DFN)-Algebras of Entire Functions and the Property (DN)
• The structure of polynomial ideals in the algebra of entire functions
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• Équations différentielles d'ordre infini
• Representation of Holomorphic Functions by Boundary Integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Each non-zero convolution operator on the entire functions admits a continuous linear right inverse