Riemann boundary value problem for half-plane with coefficients exponentially decreasing at infinity (Q1599443)
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scientific article; zbMATH DE number 1752699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann boundary value problem for half-plane with coefficients exponentially decreasing at infinity |
scientific article; zbMATH DE number 1752699 |
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Riemann boundary value problem for half-plane with coefficients exponentially decreasing at infinity (English)
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9 June 2002
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In this note, the inhomogeneous Riemann boundary value problem \((F^+= GF^-+g)\) for the half-plane, in the Hardy's class \(H^2\) is considered. By using of the Fourier transformation the problem is reduced to the Cauchy problem for analytic functions. Sufficient conditions for its solvability and an expression for the solution are obtained.
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Riemann boundary value problem
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Cauchy problem
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