Distributions in spaces with thick points
type: Item
instance of: scholarly article
title: Distributions in spaces with thick points
zbMATH Open document ID: 1281.46037
author: Yunyun Yang
author: R. Estrada
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-04-22T00:00:00Z
review text: Generalizing the theory of distributions with thick points in one variable introduced by the second author and \textit{S. A. Fulling} [Int. J. Appl. Math. Stat. 10, No.~SO7, 25--37 (2007; Zbl 1153.46025)], the authors of the present paper generalize this to the case of dimensions \(n \geq 2\). The multi-dimensional case is quite different from the one-dimensional case due to the difference between topological properties of \(\mathbb R \setminus \{0\}\) and \(\mathbb R^n \setminus \{0\}\). The authors make use of the method of strong asymptotic expansions to develop the theory.
Mathematics Subject Classification ID: 46F05
Mathematics Subject Classification ID: 46F10
zbMATH DE Number: 6156289
zbMATH Keywords: thick points
zbMATH Keywords: thick delta functions
zbMATH Keywords: thick distributions
zbMATH Keywords: Hadamard finite part
zbMATH Keywords: asymptotic expansions
reviewed by: Dohan Kim
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.12.045
OpenAlex ID: W2040281710
DOI: 10.1016/J.JMAA.2012.12.045
description: scientific article; zbMATH DE number 6156289