5 papers · 1 filter
classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products
Alberto Dayan, Adrián Llinares, Miguel Monsalve-López
We study properties of spaces in the Dirichlet range, recently defined by Brevig, Kulikov, Seip and Zlotnikov as the set of all holomorphic functions on the unit disc $\mat…
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…
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.
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…