Fourier asymptotics of statistically self-similar measures
type: Item
instance of: scholarly article
title: Fourier asymptotics of statistically self-similar measures
zbMATH Open document ID: 0938.28005
DOI: 10.1007/BF01259376
author: Christian Bluhm
published in: The Journal of Fourier Analysis and Applications
publication date: 2000-06-15T00:00:00Z
full work available at URL: https://eudml.org/doc/59611
review text: The author studies the asymptotic decay of the Fourier transform of certain self-similar random measures constructed by \textit{M. Arbeiter} [Stochastics and Stochastics Rep. 39, No. 4, 195-212 (1992; Zbl 0762.60036)]. The result is then applied to construct statistically self-similar Salem sets.
reviewed by: Y. Xiao
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 60G18
zbMATH DE Number: 1340861
zbMATH Keywords: random self-similar measures
zbMATH Keywords: Fourier dimension
zbMATH Keywords: statistically self-similar Salem sets
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1340861