Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T08:52:52.961Z Has data issue: false hasContentIssue false

Characterization of the support of pseudomeasures on R

Published online by Cambridge University Press:  24 October 2003

F. J. GONZÁLEZ VIELI
Affiliation:
Institut de Mathématiques, Université de Lausanne, 1015 Lausanne, Switzerland

Abstract

We prove that a point $x$ in R is out of the support of a pseudomeasure $T$ on R if and only if the Fourier integral of $T$ at $x$ is summable with Cesàro means of order 1 to zero.

Type
Research Article
Copyright
© 2003 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)