Linear analysis of quadrature domains

DOI10.1007/BF02559714zbMath0892.47025OpenAlexW2162840356MaRDI QIDQ1915865

Mihai Putinar

Publication date: 3 August 1998

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559714

zbMATH Keywords

distributionquadrature domainSchwarz functionassociated matrixbounded planar domaincompression to a semi-invariant subspace of finite dimensionintegrable analytic functionoperators with rank-one self-commutatorquadrature identitysemi-normal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (18)

Line bundles defined by the Schwarz function ⋮ Matrix analysis and the Friedrichs operator of a quadrature domain ⋮ Extremal solutions of the two-dimensional \(L\)-problem of moments. II ⋮ A commutator formula for subnormal tuples of operators ⋮ The work of Pavlov on shift operators on a Riemann surface ⋮ Analytic theory of hyponormal operators with rank one self-commutators ⋮ A note on the complete unitary invariant for some subnormal operators ⋮ Linear analysis of quadrature domains. III ⋮ Unnamed Item ⋮ Energy functional of the Volterra operator ⋮ A model for some class of operators ⋮ Quasinilpotent operators and non-Euclidean metrics ⋮ Hyponormal operators with rank-two self-commutators ⋮ Xia's analytic model of a subnormal operator and its applications ⋮ On a class of operators with finite rank self-commutators ⋮ Traces of Commutators of Integral Operators – the Aftermath ⋮ Linear analysis of quadrature domains. II ⋮ Exponential Transforms, Resultants and Moments

Cites Work

• On the kernels associated with a class of hyponormal operators
• A kernel for operators with one-dimensional self-commutators
• The analytic model of a hyponormal operator with rank one self-commutator
• Singular and special points on quadrature domains from an algebraic geometric point of view
• Quadrature domains
• Commutators, symbols, and determining functions
• Traces of commutators of integral operators
• Domains on which analytic functions satisfy quadrature identities
• Extremal solutions of the two-dimensional \(L\)-problem of moments
• Quadrature identities and the Schottky double
• Commutators and systems of singular integral equations. I
• Seminormal operators
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