On equiconvergence of spectral expansions of integral operators (Q1040298)

The equiconvergence theorem was proved in many works for the Sturm-Liouville operator and an arbitrary operator \[ y^{(n)}+ \sum^{n-2}_{k=0} p_k(x) y^{(k)},\qquad p_k(x)\in L(0,1), \] with arbitrary boundary conditions \[ \sum^{n-1}_{k=0} [a_{ij} y^{(k)}(0)+ b_{jk} y^{(k)}(1)]= 0,\qquad j= 1,2,\dots, n. \] In this paper, the author presents the results obtained by using the Cauchy-Poincaré contour integration method.