HARMONIC ANALYSIS ON CERTAIN VECTOR SPACES.

Abstract

Let 1 denote the vector space of all sequences of real numbers with the topology of coordinate-wise convergence. For 0 < p < infinity l sub p denote the subset of l consisting of all sequences x sub i which have the summation, from one to infinity of the (absolute value of x sub i) to the p power finite. The main efforts in the paper are to generalize Bochner's theorem and the Levy-continuity theorem to these l sub p spaces. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0686129

Entities

People

  • J. Kuelbs
  • V. Mandrekar

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Continuity
  • Convergence
  • Harmonic Analysis
  • Mathematics
  • Numbers
  • Real Numbers
  • Sequences
  • Topology
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers