8 citations · 25 across the 18 of their papers we have counts for
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The Jacobi operator and its Donoghue -functions
Fritz Gesztesy, Mateusz Piorkowski, Jonathan Stanfill
In this paper we construct Donoghue -functions for the Jacobi differential operator in , associated to the differential expression \begi…
Donoghue -functions for singular Sturm--Liouville operators
Fritz Gesztesy, Lance L. Littlejohn, Roger Nichols +2
Let be a densely defined, closed, symmetric operator in the complex, separable Hilbert space with equal deficiency indices and denote by $\mathcal{N}_i = \ke…
On domain properties of Bessel-type operators
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
Motivated by a recent study of Bessel operators in connection with a refinement of Hardy's inequality involving on the finite interval , we now take a closer l…
A survey of some norm inequalities
Fritz Gesztesy, Roger Nichols, Jonathan Stanfill
We survey some classical norm inequalities of Hardy, Kallman, Kato, Kolmogorov, Landau, Littlewood, and Rota of the type \[ \|A f\|_{\mathcal{X}}^2 \leq C \|f\|_{\mathcal{X}} \big\…
The Krein-von Neumann extension revisited
Guglielmo Fucci, Fritz Gesztesy, Klaus Kirsten +3
We revisit the Krein-von Neumann extension in the case where the underlying symmetric operator is strictly positive and apply this to derive the explicit form of the Krein-von Neum…
Bessel-Type Operators and a refinement of Hardy's inequality
Fritz Gesztesy, Michael M. H. Pang, Jonathan Stanfill
The principal aim of this paper is to employ Bessel-type operators in proving the inequality \begin{align*} \int_0^πdx \, |f'(x)|^2 \geq \dfrac{1}{4}\int_0^πdx \, \dfrac{|f(x)|^2}{…
Partitions With Designated Summands Not Divisible by , , and Modulo , , and
Daniel Herden, Mark R. Sepanski, Jonathan Stanfill +4
Numerous congruences for partitions with designated summands have been proven since first being introduced and studied by Andrews, Lewis, and Lovejoy. This paper explicitly charact…
Spectral zeta-Functions and zeta-Regularized Functional Determinants for Regular Sturm-Liouville Operators
Guglielmo Fucci, Fritz Gesztesy, Klaus Kirsten +1
The principal aim in this paper is to employ a recently developed unified approach to the computation of traces of resolvents and -functions to efficiently compute values of spe…