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The Consequences of the Fourier Asymptotic for the Spectral Data

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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2229))

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Abstract

We can use the Fourier asymptotics of the previous chapter to improve our description of the asymptotic behavior of the (classical) spectral divisor D = {(λ k, μ k)} of a potential (u, u y).

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References

  1. J. Pöschel, E. Trubowitz, Inverse Spectral Theory (Academic Press, London, 1987)

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Klein, S. (2018). The Consequences of the Fourier Asymptotic for the Spectral Data. In: A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation. Lecture Notes in Mathematics, vol 2229. Springer, Cham. https://doi.org/10.1007/978-3-030-01276-2_8

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