Accession Number : AD0779546

Title :   Problems in Complex Analysis.

Descriptive Note : Final rept. 1 Jul 72-31 Dec 73,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF MATHEMATICS

Personal Author(s) : Cima,Joseph A. ; Pfaltzgraff,John A.

Report Date : 25 APR 1974

Pagination or Media Count : 6

Abstract : The theory of subordination chains and the Loewner differential equation are developed for vector-valued holomorphic mappings in (C sup n). This theory is applied to problems of univalence and quasiconformal extensions. Several properties of operators on the classical Hilbert space (Hardy space) (H sup 2) are investigated.

Descriptors :   *Complex variables, *Hilbert space, Differential equations

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE