3 papers
math.CA2025
Optimal polynomial approximants and orthogonal polynomials on the unit circle. An electrostatic approach
Ramón Orive, Joaquín Sánchez-Lara, Daniel Seco
We explore the connection between two seemingly distant fields: the set of cyclic functions in a Hilbert space of analytic functions over the unit disc $\D$, on the one hand, a…
math.FA2024
Universal multipliers for Sub-Hardy Hilbert spaces
Bartosz Malman, Daniel Seco
To every non-extreme point of the unit ball of $\hil^\infty$ of the unit disk there corresponds a Pythagorean mate, a bounded outer function satisfying the equation $|a|^2…
math.CV2024
Embeddings into de Branges-Rovnyak spaces
Bartosz Malman, Daniel Seco
We study conditions for containment of a given space of analytic functions on the unit disk in the de Branges-Rovnyak space . We deal with the non-…