On the Spectral Analysis of a Differential Operator with an Involution and General Boundary Conditions

2020

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DOI 10.32523/2077-9879-2020-11-2-30-39
Data confidence 70 medium
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Abstract

We study first-order differential operators with an involution and non-periodic boundary conditions. We exhibit their spectral properties such as the asymptotic estimates of their eigenvalues, eigenvectors and spectral projections. We also use these properties to estimate the groups generated by the differential operators we study. The results were obtained by using the method of similar operators.