Mapping intervals to intervals

Marine Bruce Abrahamse and Stephen D. Fisher

Vol. 91 (1980), No. 1, 13–27

DOI: 10.2140/pjm.1980.91.13

Abstract

We study the question of mapping intervals to intervals by rational functions which map the real line into the extended real line and the upper half plane into the upper half plane.

Mathematical Subject Classification 2000

Primary: 26C15

Secondary: 28A25

Milestones

Received: 5 March 1979

Revised: 31 August 1979

Published: 1 November 1980