Antilocality and one-sided antilocality for stable generators on the line
type: Item
instance of: scholarly article
title: Antilocality and one-sided antilocality for stable generators on the line
zbMATH Open document ID: 0609.60085
author: Yasushi Ishikawa
published in: Tsukuba Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: We study the propagation of zeroes for a test function f with \(Af=0\), where A is the generator of one-dimensional stable processes with index \(\alpha\), \(0<\alpha <1\). It is proved that the zeroes for f propagate along the support of the Lévy measure for the corresponding stable process. The result can be extended for the case \(\alpha\in [1,2)\) via similar arguments. Recently a similar result for two-dimensional case has been obtained, which is now under preparation for publication.
Mathematics Subject Classification ID: 60J35
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60E07
zbMATH DE Number: 3986338
zbMATH Keywords: propagation of zeroes
zbMATH Keywords: Lévy measure
zbMATH Keywords: stable process
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496160382
OpenAlex ID: W1824385320
DOI: 10.21099/TKBJM/1496160382
description: scientific article; zbMATH DE number 3986338