47 citations · 124 across the 33 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.SP2021
The spectrum and the Weyr characteristics of operator pencils and linear relations
Hannes Gernandt, Carsten Trunk
The relation between the spectra of operator pencils with unbounded coefficients and of associated linear relations is investigated. It turns out that various types of spectrum coi…
math.SP2021
Perturbations of periodic Sturm--Liouville operators
Jussi Behrndt, Philipp Schmitz, Gerald Teschl +1
We study perturbations of the self-adjoint periodic Sturm--Liouville operator \[ A_0 = \frac{1}{r_0}\left(-\frac{\mathrm d}{\mathrm dx} p_0 \frac{\mathrm d}{\mathrm dx} + q_0\right…
math.SP2021
Indefinite Sturm-Liouville operators in polar form
Branko Ćurgus, Volodymyr Derkach, Carsten Trunk
We consider the indefinite Sturm-Liouville differential expression \[\mathfrak{a}(f) := - \frac{1}{w}\left( \frac{1}{r} f' \right)',\] where is defined on a finite o…