On a Class of Quaternionic Positive Definite Functions and Their Derivatives

Authors

Daniel Alpay, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
Irene Sabadini, Politecnico di Milano

Document Type

Article

Publication Date

2017

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.

Comments

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

Recommended Citation

D. Alpay, F. Colombo, and I. Sabadini. On a class of quaternionic positive definite functions and their derivatives. Journal of Mathematical Physics, vol. 58 (2017), no. 3, 033501, 15 pp.

Peer Reviewed

1

Copyright

The authors