68 citations · 248 across the 33 of their papers we have counts for
3 papers · 1 filter
Decay of resolvent kernels and Schrödinger eigenstates for Lévy operators
Kamil Kaleta, René L. Schilling, Paweł Sztonyk
We study the spatial decay behaviour of resolvent kernels for a large class of non-local Lévy operators and bound states of the corresponding Schrödinger operators. Our findings na…
Density of states for the Anderson model on nested fractals
Hubert Balsam, Kamil Kaleta, Mariusz Olszewski +1
We prove the existence and establish the Lifschitz singularity of the integrated density of states for certain random Hamiltonians on fractal spaces of infinite diame…
Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval
Kamil Kaleta, Mateusz Kwaśnicki, Jacek Małecki
We prove a two-term Weyl-type asymptotic law, with error term O(1/n), for the eigenvalues of the operator psi(-Delta) in an interval, with zero exterior condition, for complete Ber…