subkernels

We prove that, at regular values lying in a strong convergence region, the resolvent kernels for a continuous bi-Carleman kernel vanishing at infinity can be expressed as uniform limits of sequences of resolvent kernels for its approximating subkernels of Hilbert-Schmidt type.

2015, Igor M. Novitskii, “Some properties of the resolvent kernels for continuous bi-Carleman kernels”, in arXiv