4 papers · 1 filter
Unitary rational functions: The scaled quaternion case
Daniel Alpay, Ilwoo Cho, Mihaela Vajiac
We develop the theory of minimal realizations and factorizations of rational functions where the coefficient space is a ring of the type introduced in our previous work, the scaled…
Scaled global operators and Fueter variables on non-zero scaled hypercomplex numbers
Daniel Alpay, Ilwoo Cho, Mihaela Vajiac
In this paper we describe the rise of global operators in the scaled quaternionic case, an important extension from the quaternionic case to the family of scaled hypercomplex numbe…
Schur analysis over the unit spectral ball
Daniel Alpay, Ilwoo Cho
We define the corresponding Hardy space, Schur multipliers and their realizations, and interpolation. Possible applications of the present work include matrices of quaternions, mat…
Regular Functions on the Scaled Hypercomplex Numbers
Daniel Alpay, Ilwoo Cho
In this paper, we study the regularity of -differentiable functions on open connected subsets of the scaled hypercomplex numbers $\left\{ \mathbb{H}_{t}\right\} _{t\in\…