On stable methods of summing Fourier-Laplace series
type: Item
instance of: scholarly article
title: On stable methods of summing Fourier-Laplace series
zbMATH Open document ID: 0965.42019
DOI: 10.1007/BF02677684
author: Ping Tang
author: Yushen Zhang
author: Yingfa Li
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2001-07-25T00:00:00Z
review text: Perturbation (in the \(\ell^2\) metric) of the Fourier coefficients may cause instability of the Fourier series in the space of continuous functions. A. N. Tikhonov found a stable approximation method for Fourier series. In the paper under review the same problem is solved for spherical harmonic series.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 41A58
zbMATH DE Number: 1462514
zbMATH Keywords: Fourier-Laplace series
zbMATH Keywords: perturbation
zbMATH Keywords: stable approximation method
MaRDI profile type: Publication
cites work: Q4125663
cites work: Q3671491
cites work: A special class of Jacobi series and some applications
full work available at URL: https://doi.org/10.1007/bf02677684
OpenAlex ID: W2032273592
description: scientific article; zbMATH DE number 1462514