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

Fuente: arXiv
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Autores principales: Dębowska, Kamila, Nizhnik, Irina L.
Formato: Preprint
Publicado: 2023
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author Dębowska, Kamila
Nizhnik, Irina L.
author_facet Dębowska, Kamila
Nizhnik, Irina L.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_15775
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Spectral analysis of self-adjoint first order differential operators with nonlocal potentials
Dębowska, Kamila
Nizhnik, Irina L.
Functional Analysis
34L05, 47E05
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.
title Spectral analysis of self-adjoint first order differential operators with nonlocal potentials
topic Functional Analysis
34L05, 47E05
url https://arxiv.org/abs/2312.15775