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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… Click to show full abstract
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.
Keywords:
positive definite;
definite functions;
quaternionic positive;
class quaternionic;
functions derivatives
Journal Title: Journal of Mathematical Physics
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!