Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598486 | Linear Algebra and its Applications | 2016 | 31 Pages |
Abstract
In this paper we begin a study of free analysis in the quaternionic setting, and consider Boolean convolution for quaternion-valued measures. To this end we also study Boolean convolution for matrix-valued complex measures, also proving Boolean infinite divisibility and central limit theorems for these measures. Moreover we prove an integral representation for quaternionic Carathéodory and Herglotz functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Alpay, Marek Bożejko, Fabrizio Colombo, David P. Kimsey, Irene Sabadini,