60 citations · 164 across the 14 of their papers we have counts for
23 papers
Polynomial Counterexamples to Shanks' Conjecture in Dirichlet-Type Spaces over the Bidisc
Oliver Navío, Daniel Seco
We study optimal polynomial approximants in spaces of Dirichlet-type over the bidisc. Given a nonzero function f, the linear optimal polynomial approximant (opa) to its reciprocal…
Uniqueness sets for functions of Dirichlet-type with restricted Taylor coefficients
Nazar Miheisi, Daniel Seco
Let be a reproducing kernel Hilbert space over the unit disk , where analytic monomials span a dense subset. Given and $Λ\subset…
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…
Equidistribution of zeros of some polynomials related to cyclic functions
Antonio Acuaviva, Daniel Seco
In the study of the cyclicity of a function in reproducing kernel Hilbert spaces an important role is played by sequences of polynomials called \emp…
Zeros of optimal polynomial approximants in
Raymond Cheng, William T. Ross, Daniel Seco
The study of inner and cyclic functions in spaces requires a better understanding of the zeros of the so-called optimal polynomial approximants. We determine that a poin…
Polynomial approach to cyclicity for weighted
Daniel Seco, Roberto Téllez
In previous works, an approach to the study of cyclic functions in reproducing kernel Hilbert spaces has been presented, based on the study of so called \emph{optimal polynomial ap…