Optimal growth of entire functions frequently hypercyclic for the differentiation operator

DOI10.1016/J.JFA.2012.09.007zbMath1315.47007arXiv1109.0488OpenAlexW2003053799WikidataQ109553784 ScholiaQ109553784MaRDI QIDQ694770

Eero Saksman, David Drasin

Publication date: 13 December 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0488

zbMATH Keywords

entire functionsrate of growthfrequently hypercyclic operatordifferentiation operator

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (10)

Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator ⋮ Growth of hypercyclic entire functions for some non-convolution operators ⋮ Frequent hypercyclicity of random entire functions for the differentiation operator ⋮ Growth of frequently or log-frequently hypercyclic functions ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Order of growth of distributionally irregular entire functions for the differentiation operator ⋮ Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator ⋮ Frequent hypercyclicity of random holomorphic functions for Taylor shifts and optimal growth ⋮ Growth of frequently hypercyclic functions for some weighted Taylor shifts on the unit disc ⋮ Rate of growth of distributionally chaotic functions

Cites Work

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• Frequently hypercyclic operators
• Frequently hypercyclic operators and vectors
• Sur Les Polynomes a Coefficients Unimodulaires
• Universal families and hypercyclic operators
• On the universal functions of G.R. Maclane

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