Michel Alexis

collaborators

2 papers

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 $n \times n$ matrices to $S U (2 n)$ -valued functions on the circle $T$ . We characterize the image…

math.CA2025

One sided orthogonal polynomials and a pointwise convergence result for $S U (2)$ -valued nonlinear Fourier series

Michel Alexis, Gevorg Mnatsakanyan, Christoph Thiele

We elaborate on a connection between the $S U (2)$ -valued nonlinear Fourier series and sequences of left and right orthogonal polynomials for complex measures on the unit circle. We…

An SU(2n)-valued nonlinear Fourier transform

One sided orthogonal polynomials and a pointwise convergence result for SU(2)-valued nonlinear Fourier series

One sided orthogonal polynomials and a pointwise convergence result for $S U (2)$ -valued nonlinear Fourier series