An \(n\)-dimensional Wiener-Plancherel formula
type: Item
instance of: scholarly article
title: An \(n\)-dimensional Wiener-Plancherel formula
zbMATH Open document ID: 0703.42008
DOI: 10.1016/0196-8858(89)90025-0
author: Elsie Sterbin Gottlieb
published in: Advances in Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors prove a Wiener-Plancherel formula on \({\mathbb{R}}^ n\). It is an analogue of the Plancherel formula. While the Plancherel formula is valid for finite energy signals, the Wiener-Plancherel formula is valid for signals \(\phi\) having bounded quadratic means. The present formula is based on the local behaviour of the signal on n-dimensional rectangles and the convergence criterion that this geometrical constraint demands.
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 4153165
zbMATH Keywords: Wiener-Plancherel formula
zbMATH Keywords: finite energy signals
reviewed by: Som Prakash Goyal
MaRDI profile type: Publication
full work available at URL: 0196-8858(89)90025-0
OpenAlex ID: W2030121097
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description: scientific article; zbMATH DE number 4153165