Restriction operators, balayage and doubly orthogonal systems of analytic functions

DOI10.1016/S0022-1236(02)00061-7zbMath1027.30057MaRDI QIDQ1874695

Mihai Putinar, Björn Gustafsson, Harold S. Shapiro

Publication date: 25 May 2003

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

zbMATH Keywords

Bergman spaces

Mathematics Subject Classification ID

Related Items (8)

Analytic continuation of the exponential transform from convex cavities ⋮ Finite section method in a space with two norms ⋮ Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants ⋮ Approximating composition operator norms on the Dirichlet space ⋮ The restriction operator on Bergman spaces ⋮ Positivity aspects of the Fantappiè transform ⋮ Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces ⋮ On the Feasibility of Extrapolation of the Complex Electromagnetic Permittivity Function Using Kramers--Kronig Relations

Cites Work

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• Contractive zero-divisors in Bergman spaces
• Reconstructing a function from its values on a subset of its domain - a Hilbert space approach
• The n-width of sets of analytic functions
• Quadrature domains
• On quadrature domains and an inverse problem in potential theory
• Domains on which analytic functions satisfy quadrature identities
• On domains in which harmonic functions satisfy generalized mean value properties
• Zeros of the derivative of a rational function and coinvariant subspaces for the shift operator on the Bergman space
• Extremal solutions of the two-dimensional \(L\)-problem of moments
• Inverse logarithmic potential problem
• Systems of functions with the dual orthogonality property
• Nonclassical choices in variational principles for eigenvalues
• Note on the simultaneous orthogonality of harmonic polynomials on several curves
• Remarks on the Neumann-Poincaré integral equation
• Existence of weak backward solutions to a generalized Hele Shaw flow moving boundary problem
• Applications of Variational Inequalities to the Existence Theorem on Quadrature Domains
• Reproducing Formulas and Double Orthogonality in Bargmann and Bergman Spaces
• Properties of some balayage operators, with applications to quadrature domains and moving boundary problems
• An inverse problem connected to double orthogonality in Bergman spaces
• Note on the orthogonality of Tchebycheff polynomials on confocal ellipses
• Bases With Double Orthogonality in the Cauchy Problem for Systems With Injective Symbols
• Regularity of Boundaries of Quadrature Domains in Two Dimensions
• An Application of Doubly Orthogonal Functions to a Problem of Approximation in Two Regions

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