Resolvent bounds for jump generators and ground state asymptotics for nonlocal Schrödinger operators ∗

Abstract

The paper deals with jump generators with a convolution kernel. Assuming that the kernel decays either exponentially or polynomially we prove a number of lower and upper bounds for the resolvent of such operators. We consider two applications of these results. First we obtain pointwise estimates for principal eigenfunction of jump generators perturbed by a… (More)

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