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arXiv · 2412.05513

Distributional Solution and Spectral Shift Function of Heun Differential Equation

Ubong Sam Idiong
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Abstract

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 $G$.

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Ubong Sam Idiong. 2024-12-07. Distributional Solution and Spectral Shift Function of Heun Differential Equation. https://arxiv.org/abs/2412.05513

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