paper

Spectral Theory of Dirac Operators

arXiv:2403.02761

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.

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

Spectral Theory of Dirac Operators · wovepaper