Complex Analysis.

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)

Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1971
Accession Number
AD0726669

Entities

People

  • Lee A. Rubel

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Cauchy Problem
  • Convergence
  • Equations
  • Fourier Series
  • Functional Analysis
  • Mathematical Analysis
  • Mathematics
  • Polynomials
  • Topology

Fields of Study

  • Mathematics
  • Philosophy

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space