11 citations · 26 across the 16 of their papers we have counts for
5 papers · 1 filter
Rational hyperholomorphic functions in (\mathbb R^4)
D. Alpay, M. Shapiro, D. Volok
We introduce the notion of rationality for hyperholomorphic functions (functions in the kernel of the Cauchy-Fueter operator). Following the case of one complex variable, we give t…
Spectral factorization in the non-stationary Wiener algebra
D. Alpay, H. Attia, S. Ben-Porat +1
We define the non-stationary analogue of the Wiener algebra and prove a spectral factorization theorem in this algebra.
The Schlesinger System and the Riemann-Hilbert Problem
Dan Volok
We generalize some classical results for the Schlesinger system of partial differential equations and give the explicit form of its solution, associated with rational matrix functi…
Point evaluation and Hardy space on a homogeneous tree
Daniel Alpay, Dan Volok
We consider transfer functions of time--invariant systems as defined by Basseville, Benveniste, Nikoukhah and Willsky when the discrete time is replaced by the nodes of an homogene…
Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I
V. Katsnelson, D. Volok
In the present paper we discuss the general facts, concerning the Schlesinger system: the (τ)-function, the local factorization of solutions of Fuchsian equations and holomorphic d…