A few remarks on Riesz summability of orthogonal series
Author:
PawełJ. Szabłowski
Journal:
Proc. Amer. Math. Soc. 113 (1991), 65-75
MSC:
Primary 42C15
DOI:
https://doi.org/10.1090/S0002-9939-1991-1072349-8
MathSciNet review:
1072349
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Abstract | References | Similar Articles | Additional Information
Abstract: We study convergence behavior of some sequences and series related to a given orthogonal series. Following the developed technique we define (in terms of fourth mixed moments only) a class of orthonormal functions such that the condition:
implies almost everywhere convergence of the series
, here for every
,

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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1991-1072349-8
Keywords:
Orthognal series,
almost everywhere convergence,
laws of large numbers,
Riesz summation
Article copyright:
© Copyright 1991
American Mathematical Society