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Boolean convolution in the quaternionic setting

Lookup NU author(s): Dr David Kimsey

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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 Caratheodory and Herglotz functions. (C) 2016 Elsevier Inc. All rights reserved.

Publication metadata

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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