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Boundary-value problem of Ñarleman with a noninvolutory shift
A. V. Aizenshtat, V. A. Chernetskii Odessa State University
Abstract:
By a conformal pasting method we reduce the Carleman boundary-value problem
$$
\Phi^+[\alpha(t)]=G(t)\Phi^+(t)+g(t)
$$
with a nonconvergent shift $\alpha(t)$ ($\alpha[\alpha(t)]\not\equiv t$) to the problem
of finding all analytic functions which are simultaneously the solutions of two problems
on an open contour: the Riemann problem and the Hasemann problem. Using this reduction,
we obtain a theorem concerning the solvability of the stated problem.
Received: 19.02.1973
Citation:
A. V. Aizenshtat, V. A. Chernetskii, “Boundary-value problem of Ñarleman with a noninvolutory shift”, Mat. Zametki, 14:5 (1973), 677–685; Math. Notes, 14:5 (1973), 948–952
Linking options:
https://www.mathnet.ru/eng/mzm9952 https://www.mathnet.ru/eng/mzm/v14/i5/p677
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Abstract page: | 157 | Full-text PDF : | 69 | First page: | 1 |
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