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) : Kuelbs,J. ; Mandrekar,V.

Report Date : JUN 1968

Pagination or Media Count : 48

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)

Descriptors :   (*HARMONIC ANALYSIS, VECTOR SPACES), HILBERT SPACE, PROBABILITY, INTEGRAL TRANSFORMS, MEASURE THEORY, TOPOLOGY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE