On Limits of Sequences of Resolvent Kernels for Subkernels

Abstract

In this paper, we approximate to continuous bi-Carleman kernels vanishing at infinity by sequences of their subkernels of Hilbert-Schmidt type and try to construct the resolvent kernels for these kernels as limits of sequences of the resolvent kernels for the approximating subkernels

35 pages. arXiv admin note: text overlap with arXiv:1512.08476