Characterization of distributions having a value at a point in the sense of Robinson

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:396

Article

Vernaeve, H.¹  Vindas, J.¹ 

[1] Univ Ghent, Dept Math, B-9000 Ghent, Belgium

关键词: Schwartz distributions;    Nonstandard analysis;    Point values;   

DOI  :  10.1016/j.jmaa.2012.06.023

来源: Elsevier

【 摘 要 】

We characterize Schwartz distributions having a value at a single point in the sense introduced by means of nonstandard analysis by A. Robinson. They appear to be continuous functions in a neighborhood of the point. This characterization improves a result by P. Loeb which assumes the everywhere existence of point values. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free