Criterion for convergence almost everywhere, with applications

E. Ostrovsky; L. Sirota

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arXiv · 1507.04020

Criterion for convergence almost everywhere, with applications

E. Ostrovsky·L. Sirota

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Abstract

We derive the necessary and sufficient condition for almost sure convergence of the sequence of measurable functions, and consider some applications in the theory of Fourier series and in the theory of random fields.

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E. Ostrovsky, L. Sirota. 2015-07-14. Criterion for convergence almost everywhere, with applications. https://arxiv.org/abs/1507.04020

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