4 citations · 5 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Infinite quantum signal processing for arbitrary Szegő 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 Szegő functions, which are functions that satisfy a logarithmic integrability c…
Quantum signal processing and nonlinear Fourier analysis
Michel Alexis, Gevorg Mnatsakanyan, Christoph Thiele
Elucidating a connection with nonlinear Fourier analysis, we extend a well known algorithm in quantum signal processing to represent measurable signals by square summable sequences…