Spectral analysis of self-adjoint first order differential operators with nonlocal potentials

2023/12/25 by Dębowska, Kamila, Nizhnik, Irina L.
#34L05 #47E05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2312.15775

Abstract

The paper considers the general form of self-adjoint boundary value problems for momentum operators with nonlocal potentials. We give an analysis of the eigenvalue distribution as zeros of the characteristic functions, for which their explicit representations are obtained in terms of nonlocal potentials.

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