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Jacobi matrices with lacunary spectrum (2009.07579v1)
Published 16 Sep 2020 in math.CV and math.SP
Abstract: We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results. In addition, we study connections between Jacobi matrices, canonical systems and de Branges spaces for lacunary spectral data