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:

1974-04-25

Pagination or Media Count:

6.0

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