30 citations · 91 across the 25 of their papers we have counts for
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On Stability of Square Root Domains for Non-Self-Adjoint Operators Under Additive Perturbations
Fritz Gesztesy, Steve Hofmann, Roger Nichols
Assuming to be an m-accretive operator in the complex Hilbert space , we use a resolvent method due to Kato to appropriately define the additive perturbation $T…
Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials
Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1
We discuss inverse spectral theory for singular differential operators on arbitrary intervals associated with rather general differential expressions o…
Heat Kernel Bounds for Elliptic Partial Differential Operators in Divergence Form with Robin-Type Boundary Conditions
Fritz Gesztesy, Marius Mitrea, Roger Nichols
One of the principal topics of this paper concerns the realization of self-adjoint operators $L_{Θ, \Om}$ in $L^2(\Om; d^n x)^m$, , associated with divergence form e…
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials
Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1
Building on work on Miura's transformation by Kappeler, Perry, Shubin, and Topalov, we develop a detailed spectral theoretic treatment of Schrödinger operators with matrix-valued p…
Boundary Data Maps and Krein's Resolvent Formula for Sturm-Liouville Operators on a Finite Interval
Stephen Clark, Fritz Gesztesy, Roger Nichols +1
We continue the study of boundary data maps, that is, generalizations of spectral parameter dependent Dirichlet-to-Neumann maps for (three-coefficient) Sturm-Liouville operators on…