Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case
From MaRDI portal
Publication:3462225
DOI10.1007/978-3-0348-0667-1_20zbMath1337.47015OpenAlexW150351218MaRDI QIDQ3462225
Irene Sabadini, Fabrizio Colombo, Daniel Alpay
Publication date: 4 January 2016
Published in: Operator Theory (Search for Journal in Brave)
Full work available at URL: http://www.springer.com/in/book/9783034806664
Functions of hypercomplex variables and generalized variables (30G35) Linear operator methods in interpolation, moment and extension problems (47A57) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)
Related Items
Slice Hyperholomorphic Functional Calculi ⋮ On pseudo-spectral factorization over the complex numbers and quaternions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
- An extension of Herglotz's theorem to the quaternions
- Schur functions and their realizations in the slice hyperholomorphic setting
- On the structure of the Taylor series in Clifford and quaternionic analysis
- Krein-Langer factorization and related topics in the slice hyperholomorphic setting
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor
- Asymptotics of certain sequences studied in the indefinite moment problem
- Conservative input-state-output systems with evolution on a multidimensional integer lattice
- Immittance- versus scattering-domain fast algorithms for non-Hermitian Toeplitz and quasi-Toeplitz matrices
- Linear stochastic systems: a white noise approach
- Symmetric systems with semi-simple structure algebra: The quaternionic case
- I. Schur methods in operator theory and signal processing
- Minimal factorization of matrix and operator functions
- On Cauchy-Kovalewski extension
- Matrices de Hankel
- Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
- Rational functions and realization theory: The hyperholomorphic case
- de Branges--Rovnyak spaces and Schur functions: The hyperholomorphic case
- Complete Nevanlinna-Pick kernels
- Reproducing kernel quaternionic Pontryagin spaces
- Rational hyperholomorphic functions in \(\mathbb R^4\)
- Algebraic tools for the study of quaternionic behavioral systems
- For which reproducing kernel Hilbert spaces is Pick's theorem true!
- Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)
- Realizations of slice hyperholomorphic generalized contractive and positive functions
- Non-commutative stochastic distributions and applications to linear systems theory
- A realization theorem for rational functions of several complex variables
- Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
- Regular Functions of a Quaternionic Variable
- Lattice filter parameterization and modeling of nonstationary processes
- Hyperholomorphic rational functions: the Clifford analysis case
- Slice Hyperholomorphic Functions with Values in Some Real Algebras
- Slice Hyperholomorphic Functional Calculi
- A product and an exponential function in hypercomplex function theory
- On linear systems and noncommutative rings
- Doubly-indexed dynamical systems: State-space models and structural properties
- On a generalized Szegö- Levinson realization algorithm for optimal linear predictors based on a network synthesis approach
- Displacement Structure: Theory and Applications
- Analytic spinor fields
- Theory of Reproducing Kernels
- Étude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques
