Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative

For two continuous and isotropic positive definite kernels on the same compact two-point homogeneous space, we determine necessary and sufficient conditions in order that their product be strictly positive definite. We also provide a similar characterization for kernels on the space-time setting G×S...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Bonfim, R.N., Guella, J.C., Menegatto, V.A.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209845
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative / R.N. Bonfim, J.C. Guella, V.A. Menegatto // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 29 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine