3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CV2015★ 3 cited
Adaptive orthonormal systems for matrix-valued functions
D. Alpay, F. Colombo, T. Qian +1
In this paper we consider functions in the Hardy space defined in the unit disc of matrix-valued. We show that it is possible, as in the scalar case, to…
math.FA2014
An extension of Herglotz's theorem to the quaternions
D. Alpay, F. Colombo, D. P. Kimsey +1
A classical theorem of Herglotz states that a function from into is positive definite if and only there exists a $\mathbb C^{s\t…
math.FA2004
Matrix-J-unitary non-commutative rational formal power series
D. Alpay, D. S. Kalyuzhnyi-Verbovetzkii
In this paper, a theory of realization and minimal factorization of rational matrix-valued functions which are -unitary on the imaginary line or on the unit circle is extended t…