On Complete Characterization of Coefficients of A.e. Converging Orthogonal Series

@inproceedings{Paszkiewicz2005OnCC,
  title={On Complete Characterization of Coefficients of A.e. Converging Orthogonal Series},
  author={A. Paszkiewicz},
  year={2005}
}
We characterize sequences of numbers (a n) such that n≥1 a n Φ n converges a.e. for any orthonormal system (Φ n) in any L 2-space. In our criterion, we use the set B = { m≥n |a m | 2 ; n ≥ 1} and its information function h B (t) = − log 3 (β − α) 

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References

Publications referenced by this paper.
Showing 1-6 of 6 references

An improved Menshov-Rademacher theorem

F Móricz, K Tandori
Proc. Amer. Math. Soc • 1996
View 6 Excerpts
Highly Influenced

Some theorems related to almost sure convergence of orthogonal series

M Weber
Indag. Math., N.S • 2000
View 1 Excerpt

Orthogonal series, Transitions of mathematical monographs

S Kashin, A A Saakyan
Amer. Math. Soc • 1989

Probability and measure

P Billingsley
Probability and measure • 1986

A new proof of Rademacher-Menshov theorem

A Paszkiewicz
A new proof of Rademacher-Menshov theorem

Convergence of orthogonal series using stochastic processes, preprint

M Talagrand
Convergence of orthogonal series using stochastic processes, preprint
View 1 Excerpt

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