The Malmquist-Takenaka system is a perturbation of the classical trigonometric system, where powers $z$ are replaced by products other M\"obius transforms disc. also inherently connected to so-called nonlinear phase unwinding decomposition which has been in center some recent activity. We prove $L^p$ bounds for maximal partial sum operator series under additional assumptions on zeros transforms...

We study the almost sure convergence of the Bartlett estimator for the asymptotic variance of the sample mean of a stationary weekly dependent process. We also study the a. s. behavior of this estimator in the case of long-range dependent observations. In the weakly dependent case, we establish conditions under which the estimator is strongly consistent. We also show that, after appropriate nor...