Vol. 97, No. 2, 1981

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
A note on real orthogonal measures

Patrick Robert Ahern and N. V. Rao

Vol. 97 (1981), No. 2, 249–266
Abstract

Let X be an open Riemann surface and K a compact subset of X such that X K has only finitely many connected components. Let R(K) denote the space of meromorphic functions with poles off K. In this note, we investigate the space of real measures supported on ∂K and orthogonal to R(K) and connect it with the first homology group of the interior of K.

Mathematical Subject Classification 2000
Primary: 46J10
Secondary: 30F99
Milestones
Received: 16 April 1979
Published: 1 December 1981
Authors
Patrick Robert Ahern
Department of Mathematics
University of Wisconsin
Madison WI
United States
N. V. Rao