On eigenfunctions of the integral operator with Neumann kernel
In this paper we consider an integral operator N acting in the space L2[0, 2p] with a generalized Neumann kernel N(s, t). We find all eigenfunctions of N corresponding to the number ±1. We give some applications to solve Riemann-Hilbert boundary value problems, and construction of some conformal map...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2017
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/97023/1/MukhiddinIMuminov2017_OnEigenfunctionsOfTheIntegralOperatorWithNeumannKernel.pdf http://eprints.utm.my/id/eprint/97023/ http://dx.doi.org/10.1063/1.4972162 |
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| Summary: | In this paper we consider an integral operator N acting in the space L2[0, 2p] with a generalized Neumann kernel N(s, t). We find all eigenfunctions of N corresponding to the number ±1. We give some applications to solve Riemann-Hilbert boundary value problems, and construction of some conformal mappings. |
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