On the existence of the ergodic Hilbert transform
type: Item
instance of: scholarly article
title: On the existence of the ergodic Hilbert transform
zbMATH Open document ID: 0634.47008
published in: The Annals of Probability
publication date: 1987-01-01T00:00:00Z
review text: The main result of the paper is the equivalence between the existence of ergodic Hilbert transform and the ergodic average in the sense of almost sure convergence for a unitary operator in \(L_ 2\). To prove this result the author uses the spectral representation of this operator.
Mathematics Subject Classification ID: 47A35
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 4032414
zbMATH Keywords: existence of ergodic Hilbert transform
zbMATH Keywords: ergodic average in the sense of almost sure convergence for a unitary operator in \(L_ 2\)
zbMATH Keywords: spectral representation
author: Ryszard Jajte
reviewed by: Antoni Leon Dawidowicz
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176992176
OpenAlex ID: W2070074982
DOI: 10.1214/AOP/1176992176
description: scientific article; zbMATH DE number 4032414