Add to ORKGA boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Given nonnegative real numbers κ1,…,κN, quaternions p1,…,pN all of modulus 1, so that the 2-spheres determined by each point do not intersect and pu≠1 for u=1,…,N, and quaternions s1,…,sN, we wish to find a slice hyperholomorphic Schur function s so that limr→1r∈(0,1)s(rpu)=suforu=1,…,N, and limr→1r∈(0,1)1−s(rpu)su¯¯¯¯¯1−r≤κu,foru=1,…,N. Our arguments relies on the theory of slice hyperholomorphic functions and reproducing kernel Hilbert spaces
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which ...
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomor...
Abstract. We define and solve a boundary interpolation problem for gene-ralized Schur functions s(z)...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
In this paper we start the study of Schur analysis in the quaternionic setting using the theory of s...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two se...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two set...
2siWe prove an interpolation theorem for slice-regular quaternionic func- tions. We define very tam...
This chapter is a survey on recent developments in quaternionic Schur analysis. The first part is ba...
In this paper we prove a quaternionic positive real lemma as well as its generalized version, in cas...
AbstractWe show that if the Nevanlinna–Pick interpolation problem is solvable by a function mapping ...
We study several aspects concerning slice regular functions mapping the quaternionic open unit ball ...
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which ...
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomor...
Abstract. We define and solve a boundary interpolation problem for gene-ralized Schur functions s(z)...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
In this paper we start the study of Schur analysis in the quaternionic setting using the theory of s...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two se...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two set...
2siWe prove an interpolation theorem for slice-regular quaternionic func- tions. We define very tam...
This chapter is a survey on recent developments in quaternionic Schur analysis. The first part is ba...
In this paper we prove a quaternionic positive real lemma as well as its generalized version, in cas...
AbstractWe show that if the Nevanlinna–Pick interpolation problem is solvable by a function mapping ...
We study several aspects concerning slice regular functions mapping the quaternionic open unit ball ...
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which ...
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomor...
Abstract. We define and solve a boundary interpolation problem for gene-ralized Schur functions s(z)...