Accession Number : AD0607351

Title :   HARMONIC FUNCTIONS AND HITTING DISTRIBUTIONS FOR MARKOV PROCESSES,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s) : Crawford,G. B.

Report Date : SEP 1964

Pagination or Media Count : 12

Abstract : It is shown that for a Markov process satisfying Hunt's condition A the class of harmonic functions completely determines the family of hitting distributions. Also, the author shows that for certain processes in two dimensions these hitting distributions are completely determined by two suitably chosen independent harmonic functions. This result parallels and extends the well known one dimensional result that hitting distributions are completely determined by one harmonic function. (Author)

Descriptors :   (*STATISTICAL PROCESSES, POTENTIAL THEORY), FUNCTIONS(MATHEMATICS), POLYNOMIALS, COMPLEX NUMBERS, REAL NUMBERS, ALGEBRA, HARMONIC ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE