6 papers
Interpolating d-tuples of Matrices
Alberto Dayan
We study interpolating sequences of -tuples of matrices, by looking at the commuting and the non-commuting case separately. In both cases, we will give a characterization of suc…
Weakly Separated Bessel Systems of Model Spaces
Alberto Dayan
We show that any weakly separated Bessel system of model spaces in the Hardy space on the unit disc is a Riesz system and we highlight some applications to interpolating sequences…
Random Interpolating Sequences in the Polydisc and the Unit Ball
Alberto Dayan, Brett D. Wick, Shengkun Wu
We study almost sure separating and interpolating properties of random sequences in the polydisc and the unit ball. In the unit ball, we obtain the 0-1 Komolgorov law for a sequenc…
Interpolating Matrices
Alberto Dayan
We extend Carleson's interpolation Theorem to sequences of matrices, by giving necessary and sufficient separation conditions for a sequence of matrices to be interpolating.
Hausdorff Measures, Dyadic Approximations and Dobiński Set
Alberto Dayan, José L. Fernández, María J. González
Dobiński set is an exceptional set for a certain infinite product identity, whose points are characterized as having exceedingly good approximations by dyadic rationa…
Zeros of Normalized Sections of Non Convergent Power Series
Alberto Dayan
A well known result due to Carlson affirms that a power series with finite and positive radius of convergence R has no Ostrowski gaps if and only if the sequence of zeros of its nt…