Accession Number:

AD0608856

Title:

REGULARLY VARYING FUNCTIONS AND THE PRINCIPLE OF EQUICONTINUITY,

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1964-10-01

Pagination or Media Count:

22.0

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE