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math.SP2019
On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below
Fritz Gesztesy, Lance L. Littlejohn, Roger Nichols
We extend the classical boundary values \begin{align*} & g(a) = - W(u_{a}(λ_0,.), g)(a) = \lim_{x \downarrow a} \frac{g(x)}{\hat u_{a}(λ_0,x)}, \\ &g^{[1]}(a) = (p g')(a) = W(\hat…
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…