Linear Fourier and stochastic analysis
type: Item
instance of: scholarly article
title: Linear Fourier and stochastic analysis
zbMATH Open document ID: 0688.60028
DOI: 10.1007/BF01198428
author: Christian Houdré
publication date: 1990-01-01T00:00:00Z
review text: To extend the traditional Fourier theory of stationary processes, some new boundedness notions, for processes and for random measures, are introduced. This leads, for these processes and measures, to Plancherel and Hausdorff-Young type formulae and to a decomposition theory via dilations and multiplications. Various applications of our methods are also presented.
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 60H99
zbMATH DE Number: 4128162
zbMATH Keywords: Fourier theory of stationary processes
zbMATH Keywords: decomposition theory via dilations and multiplications
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01198428
OpenAlex ID: W2130860346
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4128162