Flatness of distributions vanishing on infinitely many hyperplanes
type: Item
instance of: scholarly article
title: Flatness of distributions vanishing on infinitely many hyperplanes
zbMATH Open document ID: 1194.60008
author: Jan Boman
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2009-12-22T00:00:00Z
review text: The author considers an infinite family \(\{L_k\}^{\infty}_{k=1} \) of hyperplanes in \(\mathbb R^n\) and a limiting hyperplane \( L _{0}\) of \({L_k}\). Let \(u\) be an infinitely differentiable function vanishing on \({ L_k}\cap{U}\) for all \(k\geqslant 1\), where \( U\) is an open set in \(\mathbb R ^n \) intersecting of \( L _{0}\). Then \(u\) must be flat at \( L _{0}\) .
reviewed by: Jan Kurek
Mathematics Subject Classification ID: 60A10
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 5651234
zbMATH Keywords: flat distribution
zbMATH Keywords: hyperplanes
MaRDI profile type: Publication
full work available at URL: j.crma.2009.10.028
OpenAlex ID: W2087055062
cites work: When is a probability measure determined by infinitely many projections?
cites work: Q4031228
cites work: Unique continuation of microlocally analytic distributions and injectivity theorems for the ray transform
cites work: Q3671563
DOI: 10.1016/J.CRMA.2009.10.028
description: scientific article; zbMATH DE number 5651234