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math-ph2021★ 2 cited
Discrete nonlinear Fourier transforms and their inverses
Pavle Saksida
We study two discretisations of the nonlinear Fourier transform of AKNS-ZS type, and . Transformation is suitable for studying the distributio…
math.PR2021
Nonlinear Fourier transform and probability distributions
Pavle Saksida
The paper describes some probabilistic and combinatorial aspects of the nonlinear Fourier transform associated with the AKNS-ZS problems. In the first of the two main results, we s…