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math.FA2025
Solutions of abstract wave equations, eigenvalues and resonances
Yuri Latushkin, Alin Pogan
We prove general representation formulas for strongly continuous cosine and sine operator families in terms of scattering resonances of their generators. This generalizes known res…
math-ph2025
Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential
Yuri Latushkin, Alin Pogan
We study the resonances of (generally, non-selfadjoint) Schrödinger operators with matrix-valued square-well potentials. We compute explicitly the Jost function and derive complex…