Classical function theory, operator dilation theory, and machine computation on multiply-connected domains

DOI10.1090/memo/0892zbMath1145.30001OpenAlexW1971588262MaRDI QIDQ5443396

Benjamin J. Raphael, John Harland, Jim Agler

Publication date: 20 February 2008

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2b340bb8c1355010ef0289636f8d0d1baa9ef503

zbMATH Keywords

Ahlfors functionsBlaschke productsspectral setsrational dilationSchwartz kernelsSz.-Nagy dilation theoremHerglotz representationsHerglotz kernels

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02)

Related Items (17)

Contractions and the Commutant Lifting Theorem in Kreĭn Spaces ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ The failure of rational dilation on a triply connected domain ⋮ Rational dilation problems associated with constrained algebras ⋮ Geometric properties of measures related to holomorphic functions having positive imaginary or real part ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Dilation theory and functional models for tetrablock contractions ⋮ Dilation theory: a guided tour ⋮ Spectral sets and distinguished varieties in the symmetrized bidisc ⋮ The failure of rational dilation on the tetrablock ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory ⋮ Dilation theory in finite dimensions and matrix convexity ⋮ On the concept of inner function in Hardy and Bergman spaces in multiply connected domains ⋮ On \(\Gamma_n\)-contractions and their conditional dilations ⋮ Test functions in constrained interpolation ⋮ Rational dilation of tetrablock contractions revisited ⋮ Tests for complete \(K\)-spectral sets

This page was built for publication: Classical function theory, operator dilation theory, and machine computation on multiply-connected domains