Scaled global operators and Fueter variables on non-zero scaled hypercomplex numbers
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Publication:6640695
DOI10.1007/S00006-024-01347-6MaRDI QIDQ6640695
Daniel Alpay, Ilwoo Cho, M. B. Vajiac
Publication date: 20 November 2024
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Functions of hypercomplex variables and generalized variables (30G35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)
Cites Work
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- Schur functions and their realizations in the slice hyperholomorphic setting
- On the structure of the Taylor series in Clifford and quaternionic analysis
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Split quaternionic analysis and separation of the series for \(\mathrm{SL}(2,\mathbb R)\) and \(\mathrm{SL}(2,\mathbb C)/\mathrm{SL}(2,\mathbb R)\)
- Inner functions in the unit ball of \({\mathbb{C}}^ n\)
- On the formulations of the quaternionic functional calculus
- Minimal factorization of matrix and operator functions
- Matrices de Hankel
- Some remarks on reproducing kernel Krein spaces
- Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind. I, II.
- Gleason's problem and interpolation for hyperholomorphic functions).
- Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting
- Rational hyperholomorphic functions in \(\mathbb R^4\)
- On some properties of the quaternionic functional calculus
- A state space approach to canonical factorization with applications
- On regular-analytic functions with values in a Clifford-algebra
- Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
- Hyperholomorphic rational functions: the Clifford analysis case
- Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case
- On Deriving the Inverse of a Sum of Matrices
- On linear systems and noncommutative rings
- State-space realization theory of two-dimensional filters
- Doubly-indexed dynamical systems: State-space models and structural properties
- A nonconstant coefficients differential operator associated to slice monogenic functions
- An Invitation to Split Quaternionic Analysis
- Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem
- Dynamical systems of operators induced by scaled hypercomplex rings
- Certain invertible operator-block matrices induced by \(C^*\)-algebras and scaled hypercomplex numbers
- Regular functions on the scaled hypercomplex numbers
- Operators induced by certain hypercomplex systems
- Schur analysis over the unit spectral ball
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