4 citations · 8 across the 6 of their papers we have counts for
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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…
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…
Almost everywhere convergence of a wavelet-type Malmquist-Takenaka series
Gevorg Mnatsakanyan
The Malmquist-Takenaka (MT) system is a complete orthonormal system in generated by an arbitrary sequence of points in the unit disk with $\sum_n (1-|a_n|)…
Weak bound of the lacunary Carleson operator for the non-linear Fourier transform
Gevorg Mnatsakanyan
We prove the weak boundedness of a lacunary maximal function of the -valued nonlinear Fourier transform if the potential is in .
On almost everywhere convergence of Malmquist-Takenaka series
Gevorg Mnatsakanyan
The Malmquist-Takenaka system is a perturbation of the classical trigonometric system, where powers of are replaced by products of other Möbius transforms of the disc. The syst…