1 citations · 1 across the 3 of their papers we have counts for
6 papers · 1 filter
Exterior powers and pointwise creation operators
Dimitrios Chiotis, Zinaida Lykova, N. J. Young
We develop a theory of pointwise wedge products of vector-valued functions on the circle and the disc, and obtain results which give rise to a new approach to the analysis of the m…
A Geometric Characterization of the Symmetrized Bidisc
Jim Agler, Zinaida Lykova, N. J. Young
The symmetrized bidisc \[ G \stackrel{\rm{def}}{=}\{(z+w,zw):|z|<1,\ |w|<1\} \] has interesting geometric properties. While it has a plentiful supply of complex geodesics and of au…
Characterizations of some domains via Carathéodory extremals
J. Agler, Z. A. Lykova, N. J. Young
In this paper we characterize the unit disc, the bidisc and the symmetrized bidisc \[ G =\{(z+w,zw):|z|<1,\ |w|<1\} \] in terms of the possession of small classes of analytic maps…
Analytic interpolation into the tetrablock and a -synthesis problem
Z. A. Lykova, N. J. Young, A. Ajibo
We give a solvability criterion for a special case of the -synthesis problem. That is, we prove the necessity and sufficiency of a condition for the existence of an analytic $2…
The boundary Carathéodory-Fejér interpolation problem
Jim Agler, Zinaida A. Lykova, N. J. Young
We give an elementary proof of a solvability criterion for the {\em boundary Carathéodory-Fejér problem}: given a point and, a finite set of target values, to construct…
The magic functions and automorphisms of a domain
J. Agler, N. J. Young
We introduce the notion of magic functions of a general domain in d-dimensional complex space and show that the set of magic functions of a given domain is an intrinsic complex-geo…