Abstract:
The paper deals with integral operators on the simplest geometric two-edge graph containing the cycle. The class of integral operators with range of values satisfying continuity condition into internal node of graph is described. The equiconvergence of expansions in eigen- and adjoint functions and trigonometric Fourier series is established.
Key words:integral operator, geometric graph, involution, the expansions in eigen and associated functions, equiconvergence.