Interpolation problems for holomorphic functions
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Publication:2451675
DOI10.1016/j.laa.2014.03.046zbMath1290.30037OpenAlexW2025964894MaRDI QIDQ2451675
Ming-Hsiu Hsu, Lih-Chung Wang, Zhen He
Publication date: 4 June 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2014.03.046
interpolationcorona problempositive definite kernelNevanlinna-Pick problemCarathéodory-Fejér problem
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05)
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Cites Work
- The spectral Carathéodory-Fejér problem
- On the Corona problem
- The commutant lifting approach to interpolation problems
- Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
- Carathéodory-Fejér interpolation on polydisks
- The three point pick problem on the bidisk
- A constructive proof of the Leech theorem for rational matrix functions
- Distinguished varieties
- Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems
- Interpolations by bounded analytic functions and the corona problem
- Harmonic analysis of operators on Hilbert space
- Structured Noncommutative Multidimensional Linear Systems
- Nevanlinna-Pick interpolation on the bidisk
- Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity
- A commutant lifting theorem on the polydisc
- Ando's theorem and sums of squares
- Global Holomorphic Functions in Several Noncommuting Variables
- The Takagi problem on the disk and bidisk
- Generalized Interpolation in H ∞
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