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math.SPMar 16, 2015
6
citations (OpenAlex)
authors
  • T. Kappeler
  • B. Schaad
  • P. Topalov
arXiv abstractPDF
paper

Asymptotics of spectral quantities of Zakharov-Shabat operators

arXiv:1503.04850

Abstract

In this paper we provide new asymptotic estimates of various spectral quantities of Zakharov-Shabat operators on the circle. These estimates are uniform on bounded subsets of potentials in Sobolev spaces.

Cited by in corpus (2)

  • Scattering-like phenomena of the periodic defocusing NLS equation
  • Semi-linearity of the non-linear Fourier transform of the defocusing NLS equation
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