arXiv subjects

Ubong Sam Idiong

Publications and source records attributed to Ubong Sam Idiong.

2 recordsLinked to original sources

arXiv2025

Spectral Shift Functions of Lamé Operators

The search for spectral shift functions of operators remains an open area of research. In this paper, the Kre\uın's spectral shift functions are computed for the Lamé operator in the Weierstrass form and the Brioschi-Halphen operator through Green functions obtained by applying the technique of Fourier transform of distributions.

math.SP↗

arXiv2024

Distributional Solution and Spectral Shift Function of Heun Differential Equation

In this work, the Heun operator is written as an element in the universal enveloping algebra of the Lie algebra $\mathscr{G}=\mathscr{L}(G)$ of the Lie group $G=SL(2,\mathbb{C})$. The Green function and the spectral shift function of the exactly solvable Heun operator from the resulting Lie algebraic equation are obtained via Fourier transform over $G$.

math.CA↗