This article is cited in 3 papers

The summation of orthogonal series by linear methods

V. A. Bolgov

Moscow Institute of Forestry Engineering

Abstract: A class of linear methods is distinguished which possesses the property: each method sums almost everywhere any orthogonal series in $L_2$ if and only if a subsequence of partial sums whose indices satisfy a certain condition and do not depend on the series converges almost everywhere. Questions are considered on the exact Weyl multiplier and strong summability.

UDC: 517.5

Received: 30.10.1967

 English version: Mathematical Notes, 1968, 4:6, 907–912

Bibliographic databases:

• 
•