The Gibbs phenomenon for multiple Fourier integrals
type: Item
instance of: scholarly article
title: The Gibbs phenomenon for multiple Fourier integrals
zbMATH Open document ID: 0815.42008
author: Leonardo Colzani
author: Marco Vignati
published in: Journal of Approximation Theory
publication date: 1995-06-29T00:00:00Z
review text: The Gibbs phenomenon describes the behaviour of the partial sums of a Fourier series in a neighbourhood of a simple discontinuity of the function expanded. Here, the Gibbs phenomenon for general summability methods of multiple Fourier integrals is considered. The Bochner-Riesz means of double Fourier integrals are studied in more detail.
reviewed by: B. P. Osilenker
Mathematics Subject Classification ID: 42B08
zbMATH DE Number: 720669
zbMATH Keywords: Gibbs phenomenon
zbMATH Keywords: Fourier series
zbMATH Keywords: multiple Fourier integrals
zbMATH Keywords: Bochner- Riesz means
MaRDI profile type: Publication
full work available at URL: jath.1995.1007
OpenAlex ID: W2012358490
DOI: 10.1006/JATH.1995.1007
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description: scientific article; zbMATH DE number 720669