Interpolation problems for certain classes of slice hyperholomorphic functions
From MaRDI portal
Publication:346462
DOI10.1007/s00020-016-2318-xzbMath1353.30049OpenAlexW2524899064MaRDI QIDQ346462
Vladimir Bolotnikov, Fabrizio Colombo, Daniel Alpay, Irene Sabadini
Publication date: 29 November 2016
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-016-2318-x
Functions of hypercomplex variables and generalized variables (30G35) Moment problems and interpolation problems in the complex plane (30E05)
Related Items (7)
On dual transform of fractional Hankel transform ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ Finite Blaschke products over quaternions: unitary realizations and zero structure ⋮ Editorial Introduction ⋮ Divided Differences and Two-sided Polynomial Interpolation Over Quaternions ⋮ The slice hyperholomorphic Bergman space on \(\mathbb {B}_{R}\): integral representation and asymptotic behavior ⋮ Quaternionic Fock space on slice hyperholomorphic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Slice hyperholomorphic Schur analysis
- Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
- Schur functions and their realizations in the slice hyperholomorphic setting
- Slice regular functions on real alternative algebras
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Interpolation problems for Schur multipliers on the Drury--Arveson space: from Nevanlinna--Pick to abstract interpolation problem
- A general theory of Vandermonde matrices
- Interpolation of rational matrix functions
- Analytische Funktionen einer Quaternionenvariablen
- Reproducing kernel quaternionic Pontryagin spaces
- Two-sided interpolation for matrix functions with entries in the Hardy space
- Boundary interpolation for slice hyperholomorphic Schur functions
- A new theory of regular functions of a quaternionic variable
- Matrices of quaternions
- Application of Holomorphic Functions in Two and Higher Dimensions
- Regular Functions of a Quaternionic Variable
- Duality theorems for slice hyperholomorphic functions
- An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
- Interpolation and Functions Analytic Interior to the Unit Circle
- Interpolation for multipliers on reproducing kernel Hilbert spaces
- Self-mappings of the quaternionic unit ball: multiplier properties, Schwarz-Pick inequality, and Nevanlinna--Pick interpolation problem
This page was built for publication: Interpolation problems for certain classes of slice hyperholomorphic functions
