On the equiconvergence of expansions in eigenfunctions of integral operators with kernels that admit discontinuities in the derivatives on the diagonals.
The second author's previous results [see, e.g., Math. USSR, Sb. 42, 331--355 (1982; Zbl 0488.45016)] are generalized to a new class of integral operators whose kernels have derivatives with discontinuities on the lines \(t= x\) and \(t= 1-x\). For a more detailed exposition, see the authors' paper [Sb. Math. 192, 1451--1469 (2001; Zbl 1032.47027)].
scientific article; zbMATH DE number 2074968