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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Bibliographic Details
Main Author: Muminov, Mukhiddin I.
Format: Conference or Workshop Item
Language:English
Published: 2017
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.