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EnglishWe present an application to random Fourier series for φ-subgaussian random variables. In particular, we generalize previously known notions of dependence for random variables by introducing the concept of F-manageable random variables, and consider Fourier series of F-manageable φ-subgaussian random variables. Gaussian series are then a particular case of the series considered in the paper. Conditions for the uniform convergence of such series in probability are established and a rate of convergence is investigated. Moreover, the results are new even for the case of independent random variables.
| Autori interni: | |
| Autori: | Giuliano R.; Hu T C.; KozachenkoY.; Volodin A. |
| Titolo: | An application of φ-subgaussian technique to Fourier analysis |
| Anno del prodotto: | 2013 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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