On the range of an analytic multivalued function

Thomas Joseph Ransford

Vol. 123 (1986), No. 2, 421–439

DOI: 10.2140/pjm.1986.123.421

Abstract

Proofs are given of set-valued analogues of Rouché’s theorem, the argument principle, and the Picard theorems. This is achieved by developing a rudimentary theory of upper semicontinuous multivalued lifts.

Mathematical Subject Classification 2000

Primary: 30G30

Secondary: 46H05

Milestones

Received: 23 February 1985

Published: 1 June 1986