Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The structure of regulated functions


Authors: Casper Goffman, Gadi Moran and Daniel Waterman
Journal: Proc. Amer. Math. Soc. 57 (1976), 61-65
MSC: Primary 26A45
MathSciNet review: 0401993
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that there is a nontrivial class of regulated functions each of which is a representable as the sum of a continuous function and a uniformly convergent series of jump functions whose jumps are those of the given function. The set of regulated functions is the union of the classes of functions of bounded $ \Phi $-variation for convex $ \Phi $.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26A45

Retrieve articles in all journals with MSC: 26A45


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0401993-5
PII: S 0002-9939(1976)0401993-5
Article copyright: © Copyright 1976 American Mathematical Society