Remark on a new method of calculation of eigenvalues and eigenfunctions for discrete operators (Q1910263)

A regularized trace of a differential operator is a sum having the form \[ \sum_{(n)} \{\lambda^m_n - A_m(n)\} = s_m, \] where \(\lambda_n\) are eigenvalues of the differential operator, \(A_m(n)\) are specific numbers ensuring the convergence of the series, and \(m\) is an arbitrary positive integer. Once formulas for regularized traces are obtained, we can try to use them for approximate calculation of leading eigenvalues of the corresponding operator.