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math.SP2026
Complex analytic theory of Sturm-Liouville operators with Schatten -class resolvents
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
We use the theory of entire functions of finite order to prove a universal spectral dependence of the blowup/decay rate of solutions of the Sturm-Liouville eigenvalue equation for…
math.SP2025
Maximally dissipative and self-adjoint extensions of -invariant operators
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill
We introduce the notion of -invariant operators, , (in a Hilbert space) with respect to a bounded and boundedly invertible operator defined via . Conditions such…
math.SP2025
Nonnegative extensions of Sturm-Liouville operators with an application to problems with symmetric coefficient functions
Christoph Fischbacher, Jonathan Stanfill
The purpose of this paper is to study nonnegative self-adjoint extensions associated with singular Sturm-Liouville expressions with strictly positive minimal operators. We provide…