Запис Детальніше

Strictly Positive Definite Kernels on a Product of Spheres II

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title Strictly Positive Definite Kernels on a Product of Spheres II
 
Creator Guella, J.C.
Menegatto, V.A.
Peron, A.P.
 
Description We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a circle and a higher dimensional sphere. The result complements similar results previously obtained for strict positive definiteness on a product of circles [Positivity, to appear, arXiv:1505.01169] and on a product of high dimensional spheres [J. Math. Anal. Appl. 435 (2016), 286-301, arXiv:1505.03695].
 
Date 2019-02-16T16:27:25Z
2019-02-16T16:27:25Z
2016
 
Type Article
 
Identifier Strictly Positive Definite Kernels on a Product of Spheres II / J.C. Guella, V.A. Menegatto, A.P. Peron // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33C50; 33C55; 42A16; 42A82; 42C10; 43A35
DOI:10.3842/SIGMA.2016.103
http://dspace.nbuv.gov.ua/handle/123456789/148004
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України