English

Spectral Theory of Dirac Operators

Spectral Theory 2024-03-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2403.02761,
  title  = {Spectral Theory of Dirac Operators},
  author = {Tigran Harutyunyan and Yuri Ashrafyan},
  journal= {arXiv preprint arXiv:2403.02761},
  year   = {2024}
}

Comments

This book is based on our published articles, we have reused that articles as part of some chapters

R2 v1 2026-06-28T15:09:29.523Z