Montel's Theorem and Subspaces of Distributions Which Are Δm-Invariant

DOI10.1080/01630563.2013.813537zbMath1327.47005arXiv1303.4089OpenAlexW2118086237MaRDI QIDQ4979775

J. M. Almira Picazo

Publication date: 19 June 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4089

zbMATH Keywords

invariant subspaceMontel's theoremexponential polynomial

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Invariant subspaces of linear operators (47A15) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (10)

On Popoviciu-Ionescu functional equation ⋮ On polynomial functions on non-commutative groups ⋮ On certain generalizations of the Levi-Civita and Wilson functional equations ⋮ Characterization of polynomials as solutions of certain functional equations ⋮ A functional definition of polynomial for connected Lie groups ⋮ Using Aichinger's equation to characterize polynomial functions ⋮ Characterization of functions whose forward differences are exponential polynomials ⋮ On Montel and Montel-Popoviciu theorems in several variables ⋮ On some generalizations of the Fréchet functional equations ⋮ Local polynomials and the Montel theorem

Cites Work

• Combinatorial sums and finite differences
• Invariant Subspaces of Matrices with Applications
• Finite Dimensional Translation Invariant Spaces

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