• Corpus ID: 234790090

On almost everywhere convergence of Malmquist-Takenaka series

  title={On almost everywhere convergence of Malmquist-Takenaka series},
  author={Gevorg Mnatsakanyan},
The Malmquist-Takenaka system is a perturbation of the classical trigonometric system, where powers of z are replaced by products of other Möbius transforms of the disc. The system is also inherently connected to the so-called nonlinear phase unwinding decomposition which has been in the center of some recent activity. We prove L bounds for the maximal partial sum operator of the Malmquist-Takenaka series under additional assumptions on the zeros of the Möbius transforms. We locate the problem… 


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