Interpolation with symmetry and a Herglotz theorem in the bicomplex setting
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Publication:2696396
DOI10.1016/j.jmaa.2023.127201OpenAlexW4323923548WikidataQ123014081 ScholiaQ123014081MaRDI QIDQ2696396
Izchak Lewkowicz, Daniel Alpay, Mihaela Vajiac
Publication date: 14 April 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127201
positive functionsCarathéodory functionsbi-tangential interpolationbicomplex analysistwo-sided interpolation
Basic linear algebra (15Axx) General theory of linear operators (47Axx) Generalized function theory (30Gxx)
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Cites Work
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- An extension of Herglotz's theorem to the quaternions
- Bicomplex hyperfunctions
- Hilbert spaces of analytic functions, inverse scattering and operator models. II
- The commutant lifting approach to interpolation problems
- Interpolation of rational matrix functions
- State space theory of automorphisms of rational matrix functions
- Über Funktionen mit positivem Realteil
- Dissipative periodic systems and symmetric interpolation in Schur classes
- The \({\mathcal L}^ p\) space of a positive definite matrix of measures and density of matrix polynomials in \({\mathcal L}^ 1\)
- ``Wrong side interpolation by positive real rational functions
- Interpolation by polynomials with symmetries
- The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
- On the quantum mechanics of bicomplex Hamiltonian system
- A note on the complex and bicomplex valued neural networks
- The Cauchy-Kowalewski product for bicomplex holomorphic functions
- An Interpolation Problem for Functions with Values in a Commutative Ring
- Bicomplex Holomorphic Functions
- Multicomplex hyperfunctions
- Bicomplex hamiltonian systems in quantum mechanics
- An indefinite metric in the Nevanlinna-Pick problem
- An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
- Synthesis of a Finite Two-terminal Network whose Driving-point Impedance is a Prescribed Function of Frequency
- Generalizations and new proof of the discrete-time positive real lemma and bounded real lemma
- Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
- Generalized Interpolation in H ∞
- Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
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