Growth of frequently hypercyclic functions for some weighted Taylor shifts on the unit disc

DOI10.4153/S0008439520000430OpenAlexW3035180187MaRDI QIDQ5003433

Augustin Mouze, Vincent Munnier

Publication date: 22 July 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439520000430

zbMATH Keywords

boundary behaviorfrequently hypercyclic operatorTaylor shift

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (1)

Growth of frequently or log-frequently hypercyclic functions

Cites Work

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• Frequently hypercyclic Taylor shifts
• Linear chaos
• Optimal growth of entire functions frequently hypercyclic for the differentiation operator
• Hypercyclicity: the role of the unimodular point spectrum
• On random frequent universality
• Some Theorems on Fourier Coefficients
• Rate of growth of frequently hypercyclic functions
• Frequently hypercyclic operators
• Mixing Taylor shifts and universal Taylor series

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