12 citations · 38 across the 23 of their papers we have counts for
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Nikishin systems on the unit circle
Rostyslav Kozhan
We introduce Nikishin system of probability measures on the unit circle. We show that such systems satisfy the AT property and therefore normality, introduced in~\cite{KVMLOPUC…
Angelesco and AT systems on the Unit Circle
Rostyslav Kozhan, Marcus Vaktnäs
We introduce the concept of Laurent multiple orthogonality on the unit circle and define Angelesco and AT systems in this setting. Using a generalized Andreief identity, we establi…
Determinantal Formulas for Rational Perturbations of Multiple Orthogonality Measures
Rostyslav Kozhan, Marcus Vaktnäs
Given multiple orthogonal polynomials on the real line with respect to a system , we investigate multiple orthogonal polynomials associated with any ration…
Christoffel Transform and Multiple Orthogonal Polynomials
Rostyslav Kozhan, Marcus Vaktnäs
We investigate multiple orthogonal polynomials associated with the system of measures obtained by applying a Christoffel transform to each of the orthogonality measures. We present…
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…