2 papers
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…
quant-ph2024
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…