On a class of quaternionic positive definite functions and their derivatives

DOI10.1063/1.4977082zbMath1361.60026OpenAlexW2591585390MaRDI QIDQ2974653

Irene Sabadini, Fabrizio Colombo, Daniel Alpay

Publication date: 10 April 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.chapman.edu/scs_articles/387

zbMATH Keywords

quaternionspositive definite functionsFock spacecentered Gaussian processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Positive definite functions in one variable harmonic analysis (42A82) Analysis of variance and covariance (ANOVA) (62J10) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Bergman spaces and Fock spaces (30H20)

Related Items

Brownian motion, martingales and Itô formula in Clifford analysis ⋮ On the weak topology of quaternionic Hilbert spaces ⋮ Generalized Fock spaces and the Stirling numbers ⋮ A representation of Weyl-Heisenberg Lie algebra in the quaternionic setting ⋮ Spectral analysis of equations over quaternions ⋮ Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra

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