2 papers
math.CA2024
Szegő Recurrence for Multiple Orthogonal Polynomials on the Unit Circle
Marcus Vaktnäs, Rostyslav Kozhan
We investigate polynomials that satisfy simultaneous orthogonality conditions with respect to several measures on the unit circle. We generalize the direct and inverse Szegő recurr…
math.CA2023
A generalized Hermite-Biehler theorem
Rostyslav Kozhan, Mikhail Tyaglov
The classical Hermite-Biehler theorem describes possible zero sets of complex linear combinations of two real polynomials whose zeros strictly interlace. We provide the full charac…