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math.SP2026
Dirichlet--Neumann bracketing for nonlocal operators
Mateusz Kwaśnicki, Jacek Wszoła
We establish Dirichlet--Neumann bracketing for the Dirichlet eigenvalues of on bounded Lipschitz domains, where is an arbitrary complete Bernstein function. The eigenva…
math.SP2022
Suprema of Lévy processes with completely monotone jumps: spectral-theoretic approach
Mateusz Kwaśnicki
We study spectral-theoretic properties of non-self-adjoint operators arising in the study of one-dimensional Lévy processes with completely monotone jumps with a one-sided barrier.…