Accession Number : AD0695038

Title :   COMPLEX ANALYSIS.

Descriptive Note : Final scientific rept. 1 Jun 66-31 May 69,

Corporate Author : YESHIVA UNIV NEW YORK BELFER GRADUATE SCHOOL OF SCIENCE

Personal Author(s) : Rauch,Harry E. ; Newman,D. J.

Report Date : OCT 1969

Pagination or Media Count : 6

Abstract : During the period from 1 June 66 - 31 May 1968, Rauch was the principal investigator and the principal effort was directed at Riemann surface theory, theta functions and schlicht functions (conformal maps). Results are described in the references listed in this report. During the period 1 June 68 - 31 May 1969, Newman was the principal investigator and research was concentrated in linear search problems, Hilbert spaces of entire functions, completeness problems for the set (f(n,x)) and completeness problems in radical algebras. A summary of results is included in this report. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, PERIODIC VARIATIONS), (*COMPLEX VARIABLES, THEORY), (*SEARCH THEORY, PROBLEM SOLVING), ANALYTIC FUNCTIONS, CONFORMAL MAPPING, FOURIER ANALYSIS, GROUPS(MATHEMATICS), HILBERT SPACE, MEASURE THEORY, SERIES(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE