SU(1,1) NLFT diverges pointwise for some square-summable sequences, showing that pointwise asymptotics for OPUC can fail in the Szegő class.
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Pointwise behavior of SU(1,1) nonlinear Fourier transform
SU(1,1) NLFT diverges pointwise for some square-summable sequences, showing that pointwise asymptotics for OPUC can fail in the Szegő class.