Further Extensions of the Choquet-Deny and Deny Theorems with Applications in Characterization Theory.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1987
- Accession Number
- ADA193358
Entities
People
- Calyampudi Radhakrishna Rao
- D. N. Shanbhag
Organizations
- University of Pittsburgh