Poles of \(\int_Af^s\bullet\) for an almost isolated singularity
type: Item
instance of: scholarly article
title: Poles of \(\int_Af^s\bullet\) for an almost isolated singularity
zbMATH Open document ID: 0917.32026
author: A. Mardhy
author: Ahmed Jeddi
published in: Manuscripta Mathematica
publication date: 1999-08-02T00:00:00Z
review text: Distributions are studied arising from germs of real analytic functions. Let \(f:(\mathbb{R}^{n+1},0)\to(\mathbb{R},0)\) be the germ of a real analytic function such that the complexified germ has an almost isolated singularity at 0 for an eigenvalue \(e^{-2\pi iu}\) of the monodromy, \(u\in(0,1)\) and rational. Let \(A\) be a linear combination of the connected components of \(\mathbb{R}^{n+1} \setminus \{f=0\}\). The distribution \(\int_Af^s \bullet\) is studied and necessary and sufficient conditions are given for the property that it admits poles in \(-u+\mathbb{N}\).
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 32S05
Mathematics Subject Classification ID: 14B15
Mathematics Subject Classification ID: 26E05
zbMATH DE Number: 1239589
zbMATH Keywords: germs of real analytic functions
zbMATH Keywords: almost isolated singularity
MaRDI profile type: Publication
full work available at URL: s002290050113
OpenAlex ID: W2603516119
DOI: 10.1007/S002290050113
description: scientific article; zbMATH DE number 1239589