Accession Number : AD0726669

Title :   Complex Analysis.

Descriptive Note : Final scientific status rept. 1 Jun 68-31 May 71,

Corporate Author : ILLINOIS UNIV URBANA DEPT OF MATHEMATICS

Personal Author(s) : Rubel,Lee A.

Report Date : 15 JUN 1971

Pagination or Media Count : 12

Abstract : Research was conducted on densities on locally compact Abelian groups, on uniqueness theorems for analytic functions, on a Fourier series method for meromorphic and entire functions, on uniform distributions on locally compact Abelian groups, on weighted polynomial approximation on the integers, on a completeness theorem for entire functions, on the growth of Blaschke products, on functional analysis proofs of some theorems in function theory, on bounded analytic functions and the bounded weak star topology, on the second duals of some spaces of analytic functions, on non-maximal prime ideals in the ring of holomorphic functions, on bounded convergence of analytic functions, on the fractional derivative via entire functions, on very slowly varying functions, on invariant hyperplanes in (L sup infinity symbol) (T), on the failure of interior-exterior factorization in special domains, on locally outer functions, on martingales of measures, on Cauchy problems for pseudo-parabolic equations, on a generalization of the Laplace transform, and on Farrell sets in the unit disc. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, COMPLEX VARIABLES), GROUPS(MATHEMATICS), ANALYTIC FUNCTIONS, MEROMORPHIC FUNCTIONS, MEASURE THEORY, CAUCHY PROBLEM, APPROXIMATION(MATHEMATICS), FOURIER ANALYSIS, SERIES(MATHEMATICS), FUNCTIONS(MATHEMATICS), INTEGRAL TRANSFORMS, PARTIAL DIFFERENTIAL EQUATIONS, TOPOLOGY, REPORTS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE