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math.SP2025
Essential self-adjointness of non-semibounded Schrödinger operators on infinite graphs
Ognjen Milatovic
We work in the setting of infinite, not necessarily locally finite, weighted graphs. We give a sufficient condition for the essential self-adjointness of (discrete) Schrödinger ope…
math.AP2025
Extended Sobolev Scale on Non-Compact Manifolds
Ognjen Milatovic
Adapting the definition of ``extended Sobolev scale" on compact manifolds by Mikhailets and Murach to the setting of a (generally non-compact) manifold of bounded geometry , we…
math.SP2025
On two properties of positively perturbed discrete Schrödinger operators
Ognjen Milatovic
We show that if we start from a symmetric lower semi-bounded Schrödinger operator on finitely supported functions on a discrete weighted graph (satisfying certain con…