Accession Number : ADA193358

Title :   Further Extensions of the Choquet-Deny and Deny Theorems with Applications in Characterization Theory.

Descriptive Note : Technical rept. for period ending Aug 87,

Corporate Author : PITTSBURGH UNIV PA CENTER FOR MULTIVARIATE ANALYSIS

Personal Author(s) : Rao, C R ; Shanbhag, D N

PDF Url : ADA193358

Report Date : Aug 1987

Pagination or Media Count : 30

Abstract : This paper aims at extending the Davies-Shanbhag (1987) result to situations covering the problems considered by Schimizu (1978, 1980), Gu and Lau (1984) and Ramachandran et al (1987). Section 2, gives the results when H is bounded and micron is replaced by a certain bounded signed measure subsuming the specialized versions of the results given earlier by Shimizu (1978) and Ramchandran et al (1987); these turn out to be also extended versions of the Choquet-Deny theorem. Section 3 considers an extension of the Davies-Shanbhag result for the case of two simultaneous equations yielding the results of Ramachandran et al (1987) and those arrived at by some of the authors as special cases. Section 4 obtains extended versions of the results involving error terms given earlier by Shimizu (1980) and Gu and Lau (1984), and finally in Section 5, we discuss some applications. Keywords: Integrated cauchy functional equations.

Descriptors :   *SIMULTANEOUS EQUATIONS, CAUCHY PROBLEM, ERROR ANALYSIS, FUNCTIONAL ANALYSIS, INTEGRATED SYSTEMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE