Accession Number:

AD0686129

Title:

HARMONIC ANALYSIS ON CERTAIN VECTOR SPACES.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1968-06-01

Pagination or Media Count:

48.0

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 Bochners theorem and the Levy-continuity theorem to these l sub p spaces. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE