HYPERCYCLIC ALGEBRAS FOR CONVOLUTION OPERATORS OF UNIMODULAR CONSTANT TERM - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2019

HYPERCYCLIC ALGEBRAS FOR CONVOLUTION OPERATORS OF UNIMODULAR CONSTANT TERM

Résumé

We study the existence of hypercyclic algebras for convolution operators Φ(D) on the space of entire functions whose symbol Φ has unimod-ular constant term. In particular, we provide new eigenvalue criteria for the existence of densely strongly algebrable sets of hypercyclic vectors.
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Dates et versions

hal-02379253 , version 1 (25-11-2019)

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Juan Bès, Romuald Ernst, Ángeles Prieto. HYPERCYCLIC ALGEBRAS FOR CONVOLUTION OPERATORS OF UNIMODULAR CONSTANT TERM. 2019. ⟨hal-02379253⟩
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