L. Littlejohn

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20172021

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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.SP2018

Trace formulas applied to the Riemann $ζ$ -function

Mark S. Ashbaugh, Fritz Gesztesy, Lotfi Hermi +3

We use a spectral theory perspective to reconsider properties of the Riemann zeta function. In particular, new integral representations are derived and used to present its value at…

On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below

Trace formulas applied to the Riemann ζ-function

Trace formulas applied to the Riemann $ζ$ -function