# 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

# Descriptors:

# Subject Categories:

- Statistics and Probability