Khromov, A. P. Integral operators with kernels that are discontinuous on broken lines. (English. Russian original) Zbl 1203.47025 Sb. Math. 197, No. 11, 1669-1696 (2006); translation from Mat. Sb. 197, No. 11, 115-142 (2006). Summary: In this paper, we study the equiconvergence of expansions in trigonometric Fourier series and in eigenfunctions and associated functions of an integral operator whose kernel has discontinuities of the first kind on broken lines formed from the sides and diagonals of the squares obtained by dividing the unit square into \(n^2\) equal squares. Cited in 8 Documents MSC: 47G10 Integral operators 42A24 Summability and absolute summability of Fourier and trigonometric series 45P05 Integral operators 47A10 Spectrum, resolvent 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces × Cite Format Result Cite Review PDF Full Text: DOI