Spectral Shift Functions of Lam\'{e} Operators
Spectral Theory
2025-03-26 v1 Mathematical Physics
math.MP
Abstract
The search for spectral shift functions of operators remains an open area of research. In this paper, the Kre\u{\i}n's spectral shift functions are computed for the Lam\'e operator in the Weierstrass form and the Brioschi-Halphen operator through Green functions obtained by applying the technique of Fourier transform of distributions.
Cite
@article{arxiv.2503.19734,
title = {Spectral Shift Functions of Lam\'{e} Operators},
author = {Ubong Sam Idiong and Unanaowo Nyong Bassey},
journal= {arXiv preprint arXiv:2503.19734},
year = {2025}
}