Vol. 20, No. 2, 1967

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Vol. 286: 1  2
Vol. 285: 1  2
Vol. 284: 1  2
Vol. 283: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Subscriptions
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
A note on principal functions and multiply-valent canonical mappings

Paul Adrian Nickel

Vol. 20 (1967), No. 2, 283–288
Abstract

L. Sario has constructed principal analytic functions on planar bordered Riemann surfaces by applying the method of linear operators to certain sets of singularity functions. Weakly λ-valent principal functions result from a similar construction, starting with singularity functions having flux equal to integral multiples of 2π. In fact, such λ-valent maps are characterized as integral powers of principal analytic functions already mentioned.

Mathematical Subject Classification
Primary: 30.42
Milestones
Received: 25 October 1965
Revised: 17 January 1966
Published: 1 February 1967
Authors
Paul Adrian Nickel