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On the spectrum of the differential operators of even order with periodic matrix coefficients

Published 23 Feb 2023 in math.SP | (2302.11807v1)

Abstract: In this paper, we consider the band functions, Bloch functions and spectrum of the self-adjoint differential operator L with periodic matrix coefficients. Conditions are found for the coefficients under which the number of gaps in the spectrum of the operator L is finite

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