Hilbert spaces of analytic functions

Contributor(s): Mashreghi, Javad | Ransford, Thomas | Seip, KristianMaterial type: Computer fileComputer fileSeries: CRM Proceedings and Lecture Notes ; v. 51Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (xi, 214 p. : ill.)ISBN: 9781470415853 (online)Subject(s): Analytic functions | Hilbert space | Potential theory (Mathematics)Online resources: Click here to access online
Contents:
Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions ; Two variations on the Drury-Averson space ; The norm of a truncated Toeplitz operator ; Approximation in weighted Hardy spaces for the unit disc ; Some remarks on the Toeplitz corona problem ; Regularity on the boundary in spaces of holomorphic functions on the unit disk ; The search for singularities of solutions to the Dirichlet problem: Recent developments ; Invariant subspaces of the Dirichlet space ; Arguments of zero sets in the Dirichlet space ; Questions on Volterra operators ; Nonhomogeneous div-curl decompositions for local Hardy spaces on a domain ; On the Bohr radius for simply connected plane domains ; Completeness of the system
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Includes bibliographical references.

Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions ; Two variations on the Drury-Averson space ; The norm of a truncated Toeplitz operator ; Approximation in weighted Hardy spaces for the unit disc ; Some remarks on the Toeplitz corona problem ; Regularity on the boundary in spaces of holomorphic functions on the unit disk ; The search for singularities of solutions to the Dirichlet problem: Recent developments ; Invariant subspaces of the Dirichlet space ; Arguments of zero sets in the Dirichlet space ; Questions on Volterra operators ; Nonhomogeneous div-curl decompositions for local Hardy spaces on a domain ; On the Bohr radius for simply connected plane domains ; Completeness of the system f(\lambda _nz)\ in _a^2[\Omega ] ; A formula for the logarithmic derivative and its applications ; Composition operators on the minimal Mobius invariant space ; Whether regularity is local for the generalized Dirichlet problem

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