Quaternion-valued positive definite functions on locally compact abelian groups and nuclear spaces

DOI10.1016/j.amc.2016.03.034zbMath1410.47008OpenAlexW2335783930MaRDI QIDQ1733519

David P. Kimsey, Fabrizio Colombo, Irene Sabadini, Daniel Alpay

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.034

zbMATH Keywords

quaternionic analysisBochner's theoremBochner-Minlos theoremnuclear spaces

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Positive linear operators and order-bounded operators (47B65)

Related Items (4)

On a class of quaternionic positive definite functions and their derivatives ⋮ Quaternionic inverse Fourier transforms on locally compact abelian groups ⋮ Boolean convolution in the quaternionic setting ⋮ Krein reproducing kernel modules in Clifford analysis

Cites Work

• Pontryagin duality for subgroups and quotients of nuclear spaces
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