Une théorie de Denjoy des martingales dyadiques. (A Denjoy theory of dyadic martingales)
type: Item
instance of: scholarly article
title: Une théorie de Denjoy des martingales dyadiques. (A Denjoy theory of dyadic martingales)
zbMATH Open document ID: 0706.60043
author: Jean-Pierre Kahane
published in: L'Enseignement Mathématique. 2e Série
publication date: 1988-01-01T00:00:00Z
review text: Following ideas of A. Denjoy, a theory of dyadic martingales is sketched, i.e. of sequences \((f_ n)^{\infty}_{n=0}\) of real-valued functions \(f_ n\) such that \(f_ 0\) is constant, \(f_ n(x)=f_ n(x_ 1,x_ 2,...,x_ n)\), were \(x=(x_ 1,x_ 2,...)\), \(x_ i=0\) or 1 for \(i=1,2,3,...\), and there holds \[ f_ n(x_ 1,x_ 2,...,x_ n)=2^{- 1}[f_{n+1}(x_ 1,...,x_ n,0)+f_{n+1}(x_ 1,...,x_ n,1)]. \]
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 28A25
zbMATH DE Number: 4159780
zbMATH Keywords: dyadic martingales
reviewed by: Julian Musielak
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4159780