227 citations · 812 across the 43 of their papers we have counts for
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math.SP2021★ 3 cited
Laplacians on infinite graphs: discrete vs continuous
Aleksey Kostenko, Noema Nicolussi
There are two main notions of a Laplacian operator associated with graphs: discrete graph Laplacians and continuous Laplacians on metric graphs (widely known as quantum graphs). Bo…
math.SP2021★ 9 cited
A Glazman-Povzner-Wienholtz Theorem on graphs
Aleksey Kostenko, Mark Malamud, Noema Nicolussi
The Glazman-Povzner-Wienholtz theorem states that the completeness of a manifold, when combined with the semiboundedness of the Schrödinger operator and suitable local regu…
math.SP2021★ 2 cited
Generalized indefinite strings with purely discrete spectrum
Jonathan Eckhardt, Aleksey Kostenko
We establish criteria for the spectrum of a generalized indefinite string to be purely discrete and to satisfy Schatten-von Neumann properties. The results can be applied to the is…