Controlling orthogonal series with irrational rotations
type: Item
instance of: scholarly article
title: Controlling orthogonal series with irrational rotations
zbMATH Open document ID: 0956.60021
DOI: 10.1023/A:1004771704266
published in: Periodica Mathematica Hungarica
publication date: 2000-11-13T00:00:00Z
review text: The paper proposes irrational rotations on the torus as a convenient tool to compute covering numbers for partial sums of orthogonal series. That yields an estimation of entropy numbers for stationary random processes with values in Hilbert space \(L^2([0,1[,\mu)\). Further, the connection with almost sure convergence of a random process is mentioned together with an illustrative counterexample.
Mathematics Subject Classification ID: 60F99
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 1528642
zbMATH Keywords: entropy numbers
zbMATH Keywords: orthogonal sums
zbMATH Keywords: rotations
author: Michel Weber
reviewed by: Petr Lachout
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1528642