Spectral and Pseudospectral Approximation of Finite-Interaction-Range Operators in Doubling Metric Measure Spaces

Mattes Wittig

We study bounded finite-interaction-range operators $H$ on ${\ell }^2(\Gamma )$, where $\Gamma$ is a uniformly discrete subset of a left-invariant doubling metric measure space $(X,d,\mu )$. Our go…