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Lookup NU author(s): Dr David Kimsey
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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 Caratheodory and Herglotz functions. (C) 2016 Elsevier Inc. All rights reserved.
Author(s): Alpay D, Bozejko M, Colombo F, Kimsey DP, Sabadini I
Publication type: Article
Publication status: Published
Journal: Linear Algebra and its Applications
Year: 2016
Volume: 506
Pages: 382-412
Print publication date: 01/10/2016
Online publication date: 06/06/2016
Acceptance date: 01/06/2016
ISSN (print): 0024-3795
ISSN (electronic): 1873-1856
Publisher: Elsevier
URL: http://dx.doi.org/10.1016/j.laa.2016.06.004
DOI: 10.1016/j.laa.2016.06.004
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