Multiple Nevanlinna-Pick interpolation with both interior and boundary data and its connection with the power moment problem
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Publication:5929765
DOI10.1016/S0024-3795(00)00258-5zbMath0983.30017WikidataQ126656634 ScholiaQ126656634MaRDI QIDQ5929765
Publication date: 16 April 2001
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Related Items (10)
Finite Blaschke products and the construction of rational \(\Gamma\)-inner functions ⋮ On boundary Nevanlinna--Pick interpolation for Carathéodory matrix functions ⋮ Some propositions on generalized Nevanlinna functions of the class \(\mathcal N_k\) ⋮ On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problems ⋮ 3-extremal holomorphic maps and the symmetrized bidisc ⋮ Interpolation by holomorphic maps from the disc to the tetrablock ⋮ Generalized Hermite formula for the two-sided Lagrange-Sylvester interpolation ⋮ The boundary Carathéodory-Fejér interpolation problem ⋮ A multiple point Nevanlinna-Pick type interpolation problem with both interior and boundary data for Carathéodory matrix-valued functions ⋮ Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
Cites Work
- Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions
- A unified approach to Loewner and Hankel matrices
- Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
- On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem
- The distance of a function to \(H^\infty\) in the Poincaré metric; electrical power transfer
- Interpolation of rational matrix functions
- The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
- Composition operators and classical function theory
- Nevanlinna-Pick interpolation with boundary data
- The general rational interpolation problem and its connection with the Nevanlinna-Pick interpolation and power moment problem
- ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
- Lossless inverse scattering, digital filters, and estimation theory
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