8 papers · 1 filter
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…
On the wandering property in Dirichlet spaces
Eva Gallardo-Gutiérrez, Jonathan Partington, Daniel Seco
We show that in a scale of weighted Dirichlet spaces , including the Bergman space, given any finite Blaschke product there exists an equivalent norm in such that $B…
Boundary behavior of optimal polynomial approximants
Catherine Bénéteau, Myrto Manolaki, Daniel Seco
In this paper, we provide an efficient method for computing the Taylor coefficients of , where denotes the optimal polynomial approximant of degree to in a…
Simultaneous zero-free approximation and universal optimal polynomial approximants
Catherine Bénéteau, Oleg Ivrii, Myrto Manolaki +1
Let be a closed subset of the unit circle of measure zero. Recently, Beise and Müller showed the existence of a function in the Hardy space for which the partial sums of…
No entire inner functions
Alberto Cobos, Daniel Seco
We study generalized inner functions on a large family of Reproducing Kernel Hilbert Spaces. We show that the only inner functions that are entire are the normalized monomials.