The Dirichlet problem of reconstruction of an analytic function in a ring (Q2753489)
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scientific article; zbMATH DE number 1670305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Dirichlet problem of reconstruction of an analytic function in a ring |
scientific article; zbMATH DE number 1670305 |
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11 November 2001
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analytic function
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integral representation
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Carleman problem
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The Dirichlet problem of reconstruction of an analytic function in a ring (English)
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Theorems about determination of a function that is analytic in a ring by prescribed limiting values of its imaginary part are proved. The obtained integral representations contain doubly periodic Jacobi functions and are derived using the solution of the Carleman boundary value problem by the method of singular integral equations.
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