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math.CA2026
Quantitative possibilities for Baxter's theorem in nonlinear Fourier analysis
Michel Alexis, Gevorg Mnatsakanyan, Kristina Oganesyan
Baxter's classical theorem for orthogonal polynomials on the unit circle establishes that the linear Fourier coefficients of a measure are in if and only if the nonlinear…
math.CA2026
An SU(2n)-valued nonlinear Fourier transform
Michel Alexis, Lars Becker, Diogo Oliveira e Silva +1
We define a nonlinear Fourier transform which maps sequences of contractive matrices to -valued functions on the circle . We characterize the image…