The structure of regulated functions

Casper Goffman; Gadi Moran; Daniel Waterman

doi:10.1090/S0002-9939-1976-0401993-5

The structure of regulated functions

Casper Goffman, Gadi Moran, Daniel Waterman

Research output: Contribution to journal › Article › peer-review

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 variation for convex.

Original language	English
Pages (from-to)	61-65
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	57
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1976-0401993-5
State	Published - May 1976
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-1976-0401993-5

Cite this

@article{c70f8658f3154b25973fcad514607f07,

title = "The structure of regulated functions",

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 variation for convex.",

author = "Casper Goffman and Gadi Moran and Daniel Waterman",

year = "1976",

month = may,

doi = "10.1090/S0002-9939-1976-0401993-5",

language = "English",

volume = "57",

pages = "61--65",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - The structure of regulated functions

AU - Goffman, Casper

AU - Moran, Gadi

AU - Waterman, Daniel

PY - 1976/5

Y1 - 1976/5

N2 - 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 variation for convex.

AB - 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 variation for convex.

UR - http://www.scopus.com/inward/record.url?scp=84968464885&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1976-0401993-5

DO - 10.1090/S0002-9939-1976-0401993-5

M3 - Article

AN - SCOPUS:84968464885

SN - 0002-9939

VL - 57

SP - 61

EP - 65

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

The structure of regulated functions

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this