# Accession Number:

## AD0742911

# Title:

## Wiener-Hopf Factorization for Convolution Semigroups.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1972-01-01

# Pagination or Media Count:

## 22.0

# Abstract:

Given a convolution semigroup with the generator A, there exist two other convolution semigroups corresponding to a subordinator and the negative of a subordinator, and with generators A and A- respectively, such that for theta 0 theta I-A theta 1 I-A theta2 I - A- where the constants theta 1, theta 2 and the generators A, A- depend on theta. The domains of A, A- are identical with that of A. Moreover, this factorization is unique. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability