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math.SP2022
Inverse problems for Jacobi operators with finitely supported perturbations
Evgeny Korotyaev, Ekaterina Leonova
We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the result…
math.SP2022★ 1 cited
Trace formulas for magnetic Schrödinger operators on periodic graphs and their applications
Evgeny Korotyaev, Natalia Saburova
We consider Schrödinger operators with periodic magnetic and electric potentials on periodic discrete graphs. The spectrum of such operators consists of a finite number of bands. W…