Equiconvergence Theorem for Integral Operator on a Graph with Cycle
摘要
Abstract
The paper deals with integral operators on the simplest geometric two-edge graph containing a cycle. The class of integral operators with range of values satisfying the continuity condition at the internal node of the graph is described. The equiconvergence of expansions of the operator in eigen- and adjoint functions and the trigonometric Fourier series is established.