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math.CA2019★ 3 cited
An Improved Discrete -Hardy Inequality
Florian Fischer, Matthias Keller, Felix Pogorzelski
We improve the classical discrete Hardy inequality for for functions on the natural numbers. For integer values of the Hardy weight is an absolutely monotonic…
math.AP2019★ 3 cited
Riesz Decompositions for Schrödinger Operators on Graphs
Florian Fischer, Matthias Keller
We study superharmonic functions for Schrödinger operators on general weighted graphs. Specifically, we prove two decompositions which both go under the name Riesz decomposition in…