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In this paper, we start the study of stochastic processes over the skew field of quaternions. We discuss the relation between positive definite functions and the covariance of centered Gaussian processes and the construction of stochastic processes and their derivatives. The use of perfect spaces and strong algebras and the notion of Fock space are crucial in this framework.


This article was originally published in Journal of Mathematical Physics, volume 58, issue 3, in 2017. DOI: 10.1063/1.4977082

Peer Reviewed



AIP Publishing


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