75 citations · 932 across the 61 of their papers we have counts for
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math.OA2013★ 28 cited
Metrics and spectral triples for Dirichlet and resistance forms
Michael Hinz, Daniel J. Kelleher, Alexander Teplyaev
The article deals with intrinsic metrics, Dirac operators and spectral triples induced by regular Dirichlet and resistance forms. We show, in particular, that if a local resistance…
math.SP2013★ 4 cited
Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces
Daniel Lenz, Alexander Teplyaev
We consider an arbitrary selfadjoint operator on a separable Hilbert space. To this operator we construct an expansion in generalized eigenfunctions in which the original Hilbert s…