2 papers
math.CA2021
On essential self-adjointness of singular Sturm-Liouville operators
S. Blake Allan, Fritz Gesztesy, Alexander Sakhnovich
Considering singular Sturm--Liouville differential expressions of the type \[ τ_α = -(d/dx)x^α(d/dx) + q(x), \quad x \in (0,b), \; α\in \mathbb{R}, \] we employ some Sturm comparis…
math.SP2019
Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel Operators
S. Blake Allan, Justin Hanbin Kim, Gregory Michajlyszyn +2
We derive explicit Krein resolvent identities for generally singular Sturm-Liouville operators in terms of boundary condition bases and the Lagrange bracket. As an application of t…