ON A HILBERT PROBLEM IN THE HALF-PLANE IN THE CLASS OF CONTINUOUS FUNCTIONS

S.A. Aghekyan

doi:10.46991/PSYU:A/2016.50.2.009

ON A HILBERT PROBLEM IN THE HALF-PLANE IN THE CLASS OF CONTINUOUS FUNCTIONS

Authors

S.A. Aghekyan Chair of Mathematical Analysis and Functions Theory, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2016.50.2.009

Keywords:

Hilbert boundary value problem, Loran’s series, orthogonality conditions, bounded domains, homogeneous problem

Abstract

We study the Hilbert boundary value problem in the half-plane, when the boundary function is continuous on the real axis. It was proved that this problem is Noetherian and the solutions of the corresponding homogeneous problem are determined in explicit form.

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Published

2016-06-06

How to Cite

Aghekyan, S. (2016). ON A HILBERT PROBLEM IN THE HALF-PLANE IN THE CLASS OF CONTINUOUS FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 50(2 (240), 9–14. https://doi.org/10.46991/PSYU:A/2016.50.2.009