1 citations · 2 across the 3 of their papers we have counts for
5 papers
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.
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…
Notes on interpolation in the generalized Schur class. II. Nudel'man's problem
D. Alpay, T. Constantinescu, A. Dijksma +1
An indefinite generalization of Nudel'man's problem is used in a systematic approach to interpolation theorems for generalized Schur and Nevanlinna functions with interior and boun…
A note on interpolation in the generalized Schur class
D. Alpay, T. Constantinescu, A. Dijksma +1
Realization theory for operator colligations on Pontryagin spaces is used to study interpolation and factorization in generalized Schur classes. Several criteria are derived which…