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Integral Representation of Functions on the Circle.

Authors :
Basso, Giuliano
Source :
Real Analysis Exchange. 2024, Vol. 49 Issue 2, p345-354. 10p.
Publication Year :
2024

Abstract

We give a complete characterization of all real-valued functions on the unit circle \(S^1\) that can be represented by integrating the spherical distance on \(S^1\) with respect to a signed measure or a probability measure. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01471937
Volume :
49
Issue :
2
Database :
Academic Search Index
Journal :
Real Analysis Exchange
Publication Type :
Academic Journal
Accession number :
180376779
Full Text :
https://doi.org/10.14321/realanalexch.49.2.1698890384