The distance of a function to \(H^\infty\) in the Poincaré metric; electrical power transfer

DOI10.1016/0022-1236(80)90066-XzbMath0496.47026MaRDI QIDQ1170482

J. William Helton

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Toeplitz and Hankel operatorsPoincare metricbroadband impedance matchingelectrical power transfergain equalization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Banach analytic manifolds and spaces (32K05) Miscellaneous applications of functional analysis (46N99)

Related Items

Geometric aspects of the Carathéodory extension problem, A multiple boundary interpolation problem for contracting matrix-valued functions in the unit circle, Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions, The subspace Nevanlinna interpolation problem and the most powerful unfalsified model, Control systems and number theory, Singular value decomposition of an infinite block-hankel matrix and its applications, Multiple Nevanlinna-Pick interpolation with both interior and boundary data and its connection with the power moment problem, The singular-value decomposition of an infinite Hankel matrix, Numerical algorithms for the Nevanlinna-Pick problem, Tracking poles and representing Hankel operators directly from data, Non-Euclidean functional analysis and electronics, Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions, A bang-bang theorem for optimization over spaces of analytic functions

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