1 citations · 4 across the 11 of their papers we have counts for
4 papers · 1 filter
The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials
D. Alpay, A. Dijksma, H. Langer
A Nevanlinna function is a function which is analytic in the open upper half plane and has a non-negative imaginary part there. In this paper we study a fractional linear transform…
Rigidity, boundary interpolation and reproducing kernels
Daniel Alpay, Simeon Reich, David Shoikhet
We use reproducing kernel methods to study various rigidity problems. The methods and setting allow us to also consider the non-positive case.
Caratheodory-Fejer interpolation and related topics in locally convex spaces
Daniel Alpay, Olga Timoshenko, Dan Volok
We study Caratheodory-Herglotz functions whose values are continuous operators from a locally convex topological space which admits the factorization property into its conjugate du…
On the reproducing kernel Hilbert spaces associated with the fractional and bi-fractional Brownian motions
Daniel Alpay, David Levanony
We present decompositions of various positive kernels as integrals or sums of positive kernels. Within this framework we study the reproducing kernel Hilbert spaces associated with…