Nonlocal Differential Operators with Integrable, Nonsymmetric Kernels:
Part I--Operator Theoretic Properties
Nonlocal Differential Operators with Integrable, Nonsymmetric Kernels:
Part I--Operator Theoretic Properties
Recent decades have provided a host of examples and applications motivating the study of nonlocal differential operators. We discuss a class of such operators acting on bounded domains, focusing on those with integrable kernels having compact support. Notably, we make no explicit symmetry assumptions on the kernel and discuss some …