
Accession Number : AD0726669
Title : Complex Analysis.
Descriptive Note : Final scientific status rept. 1 Jun 6831 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 nonmaximal 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 interiorexterior factorization in special domains, on locally outer functions, on martingales of measures, on Cauchy problems for pseudoparabolic 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