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Extremal problems for polynomials and power series
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The Schwarz Function and Its Generalization to Higher Dimensions
The Schwarz Principle of Reflection. The Logarithmic Potential, Balayage, and Quadrature Domains. Examples of ''Quadrature Identities''. Quadrature Domains: Basic Properties, 1. Quadrature Domains:Expand
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Poincaré’s Variational Problem in Potential Theory
One of the earliest attempts to rigorously prove the solvability of Dirichlet’s boundary value problem was based on seeking the solution in the form of a “potential of double layer”, and this leadsExpand
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Contractive zero-divisors in Bergman spaces
Generalizing a recent result of H. Hedenmalm for p = 2, a contractive zero-divisor is found in the Bergman space Ap over the unit disk for 1 < p < oo. This is a function G £ Ap with \\G\\P = 1 and aExpand
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A Combinatory Detection Problem
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On Zero and One Points of Analytic Functions
Let f be an analytic function in the open unit disk that assumes the values 0 and 1 at least once and an unequal number of rimes in a disk of radius 1 10-5 entered at the origin. We prove that fmustExpand
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Some negative theorems of approximation theory.
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