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most citedDirect and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials

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math.CA2002★ 17 cited

Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials

J. Coussement, A. B. J. Kuijlaars, W. Van Assche

We introduce a spectral transform for the finite relativistic Toda lattice (RTL) in generalized form. In the nonrelativistic case, Moser constructed a spectral transform from the s…