5 citations · 7 across the 4 of their papers we have counts for
4 papers
Operator model and a trace formula for pairs of unitary operators
Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz +1
Using the theory of reproducing kernel Hilbert spaces introduced by L. de Branges and J. Rovnyak we prove a trace formula for pairs of operators in Hilbert space in terms of a Cara…
Beurling-Lax type theorems and Cuntz relations
D. Alpay, F. Colombo, I. Sabadini +1
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also stu…
A new resolvent equation for the S-functional calculus
Daniel Alpay, Fabrizio Colombo, Jonathan Gantner +1
The S-functional calculus is a functional calculus for -tuples of non necessarily commuting operators that can be considered a higher dimensional version of the classical Ri…
On the class SI of J-contractive functions intertwining solutions of linear differential equations
D. Alpay, A. Melnikov, V. Vinnikov
In the PhD thesis of the second author under the supervision of the third author was defined the class SI of J-contractive functions, depending on a parameter and arising as transf…