This article is cited in 11 papers

Differentiation with respect to nets and the Haar series

V. A. Skvortsov

M. V. Lomonosov Moscow State University

Abstract: We set out the connection between convergence of the Haar series and differentiation with respect to nets of a function. This connection allows us to give a new proof of certain earlier theorems on Haar series, and also to prove a number of new generalizations.

UDC: 517.5

Received: 16.11.1967

 English version: Mathematical Notes, 1968, 4:1, 509–513

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