3 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 matrices to -valued functions on the circle . We characterize the image…
quant-ph2026
Infinite quantum signal processing for arbitrary SzegÅ functions
Michel Alexis, Lin Lin, Gevorg Mnatsakanyan +2
We provide a complete solution to the problem of infinite quantum signal processing for the class of SzegÅ functions, which are functions that satisfy a logarithmic integrability…
math.CA2025
One sided orthogonal polynomials and a pointwise convergence result for -valued nonlinear Fourier series
Michel Alexis, Gevorg Mnatsakanyan, Christoph Thiele
We elaborate on a connection between the -valued nonlinear Fourier series and sequences of left and right orthogonal polynomials for complex measures on the unit circle. We…