60 citations · 164 across the 14 of their papers we have counts for
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math.FA2022
Convergence and preservation of cyclicity
Alejandra Aguilera, Daniel Seco
We prove the property that a function is cyclic (resp., non-cyclic) is not preserved by norm convergence in Dirichlet-type spaces , and show how other significant quantities f…
math.FA2014★ 1 cited
Cyclic polynomials in two variables
Catherine Bénéteau, Greg Knese, Łukasz Kosiński +3
We give a complete characterization of polynomials in two complex variables that are cyclic with respect to the coordinate shifts acting on Dirichlet-type spaces in the bidisk, whi…
math.FA2013★ 18 cited
Cyclicity in Dirichlet-type spaces and extremal polynomials II: functions on the bidisk
Catherine Bénéteau, Alberto A. Condori, Constanze Liaw +2
We study Dirichlet-type spaces of analytic functions in the unit bidisk and their cyclic elements. These are the functions for which there exists a sequence $(…