The asymptotic expansion of certain multi-dimensional generalized functions
type: Item
instance of: scholarly article
title: The asymptotic expansion of certain multi-dimensional generalized functions
zbMATH Open document ID: 0764.41029
DOI: 10.1016/0022-247X(92)90293-M
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: The paper applies regularization of divergent integrals in the derivation of the asymptotic expansion of certain multi-dimensional generalized functions. Several illustrations are presented to demonstrate that the asymptotic development of generalized functions provides a clear formulation of many concepts in asymptotic analysis, such as the expansion of oscillatory integrals and the expansion of certain series.
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 46F10
zbMATH DE Number: 62881
zbMATH Keywords: multi-dimensional generalized functions
zbMATH Keywords: expansion of oscillatory integrals
author: R. Estrada
author: Ram P. Kanwal
reviewed by: Nico M. Temme
MaRDI profile type: Publication
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full work available at URL: 0022-247x(92)90293-m
OpenAlex ID: W1997280393
description: scientific article; zbMATH DE number 62881