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Spectral Shift Functions of Lamé Operators

Published 25 Mar 2025 in math.SP, math-ph, and math.MP | (2503.19734v1)

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.

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