Spectral Theory of Dirac Operators

Fuente: arXiv
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Autori principali: Harutyunyan, Tigran, Ashrafyan, Yuri
Natura: Preprint
Pubblicazione: 2024
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author Harutyunyan, Tigran
Ashrafyan, Yuri
author_facet Harutyunyan, Tigran
Ashrafyan, Yuri
contents The main issues of the spectral theory of Dirac operators are presented, namely: transformation operators, asymptotics of eigenvalues and eigenfunctions, description of symmetric and self-adjoint operators in Hilbert space, expansion in eigenfunctions, uniqueness theorems in inverse problems, constructive solution of inverse problems, description of isospectral operators, and some other questions. This book is aimed at specialists in spectral theory and graduate students of mathematics at universities.
format Preprint
id arxiv_https___arxiv_org_abs_2403_02761
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spectral Theory of Dirac Operators
Harutyunyan, Tigran
Ashrafyan, Yuri
Spectral Theory
34L05, 34L10, 34B09
The main issues of the spectral theory of Dirac operators are presented, namely: transformation operators, asymptotics of eigenvalues and eigenfunctions, description of symmetric and self-adjoint operators in Hilbert space, expansion in eigenfunctions, uniqueness theorems in inverse problems, constructive solution of inverse problems, description of isospectral operators, and some other questions. This book is aimed at specialists in spectral theory and graduate students of mathematics at universities.
title Spectral Theory of Dirac Operators
topic Spectral Theory
34L05, 34L10, 34B09
url https://arxiv.org/abs/2403.02761