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