3 papers
math.CA2026
Some Results on Lame-Heun Spectral Geometry
Ubong Sam Idiong
We develop a unified spectral and complex analytic theory of the Lame equation through its canonical Heun realization. Starting with ellipsoidal separation, we derive essential ele…
math.SP2025
Spectral Shift Functions of Lamé Operators
Ubong Sam Idiong, Unanaowo Nyong Bassey
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 t…
math.CA2024
Distributional Solution and Spectral Shift Function of Heun Differential Equation
Ubong Sam Idiong
In this work, the Heun operator is written as an element in the universal enveloping algebra of the Lie algebra of the Lie group .…