scientific article; zbMATH DE number 5794292
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Publication:4932101
zbMath1211.31001MaRDI QIDQ4932101
Dmitry Khavinson, Erik Lundberg
Publication date: 1 October 2010
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dirichlet problemsingularitiesorthogonal polynomialsCauchy problementire solutionpolynomial solution
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)
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The Khavinson-Shapiro conjecture and the Bergman projection in one and several complex variables ⋮ Strong asymptotics for Bergman polynomials over non-smooth domains ⋮ A characterization of the Khavinson-Shapiro conjecture via Fischer operators ⋮ Strong asymptotics for Bergman polynomials over domains with corners and applications ⋮ Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ The Khavinson-Shapiro conjecture and polynomial decompositions ⋮ Images of point charges in conducting ellipses and prolate spheroids ⋮ Dirichlet's problem with entire data posed on an ellipsoidal cylinder ⋮ Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem ⋮ The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces ⋮ Spectral properties of classical integral operators and geometry
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