Accession Number : AD0620570

Title :   WEAK BOUNDARY COMPONENTS OF AN OPEN RIEMANN SURFACE.

Descriptive Note : Doctoral thesis,

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : Savage,Nevin W.

Report Date : APR 1956

Pagination or Media Count : 49

Abstract : This thesis is concerned with finding tests for a weak boundary component. (A boundary component is called weak if it has vanishing capacity). Sufficient conditions are derived which ensure that a boundary component be weak. The criteria obtained are valid, not only for planar surfaces but for arbitrary open Riemann surfaces as well.

Descriptors :   (*POTENTIAL THEORY, COMPLEX VARIABLES), (*COMPLEX VARIABLES, POTENTIAL THEORY), BOUNDARY VALUE PROBLEMS, CONFORMAL MAPPING, TOPOLOGY, FUNCTIONS(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE