Research

My area of research is analysis. I work mostly with spaces of analytic functions, combining tools from harmonic analysis, complex analysis and operator theory. In this setting, my research focuses on reproducing kernel Hilbert spaces and their multipliers algebras. Some topics that I have been recently treated are interpolating sequences, Carleson measures and cyclic functions. I am also interested in random matrices, non-commutative function theory and their interactions.

Preprints

• (with Nikolaos Chalmoukis and Giuseppe Lamberti) "Random Carleson Sequences for the Hardy Space on the Polydisc and the Unit Ball" arXiv link

• (with Adrian Llinares and Karl-Mikael Perfekt) "Restrictions of Békollé-Bonami Weights and Bloch Functions" arXiv link

Accepted/Published Papers

• (with Nikolaos Chalmoukis and Michael Hartz) "Simply Interpolating Sequences in Complete Pick Spaces",  Transaction of the American Math. Society Vol. 377, No. 5 (2024)  arXiv link

• "Interpolating d-tuples of Matrices", Journal of Mathematical Analysis and Applications 519, 2 (2023)  arXiv link 

• (with Brett Wick and Shengkun Wu) "Random Interpolating Sequences in the Polydisc and the Unit Ball", Computational Methods and Function Theory 23, 165 - 198 (2022) arXiv link

• "Weakly Separated Bessel Systems of Model Spaces",  Canadian Mathematical Bulletin 65(2), 723-742 (2022).  arXiv link 

• (with José Luís Fernández and Maria Jose González) “Hausdorff Measures, Dyadic Approximations and Dobinski Set”, Illinois Journal of Mathematics Vol. 65, No. 2 (2021), 515–531.    arXiv link

• “Interpolating Matrices”, Integral Equations and Operator Theory 92, 49 (2020)    arXiv link

• “Zeros of Normalized Section of Non Convergent Power Series", Complex Analysis and Operator Theory 14, 10 (2020).  arXiv link