REGULARLY VARYING FUNCTIONS AND THE PRINCIPLE OF EQUICONTINUITY,

Abstract

The concept of regularly varying functions is extended from real functions of a real variable to mappings of one topological group with a filter into another. The classical results on regularly varying functions are generalized, and one of these generalizations contains as a particular case the equicontinuity principle (or Banach-Steinhaus theorem). In the case of regularly varying functions of n real variables, the representation theorem is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0608856

Entities

People

  • B. Bajsanski
  • J. Karamata

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.