Strictly Positive Definite Kernels on a Product of Spheres II

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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dc.contributor.author	Guella, J.C.
dc.contributor.author	Menegatto, V.A.
dc.contributor.author	Peron, A.P.
dc.date.accessioned	2019-02-16T16:27:25Z
dc.date.available	2019-02-16T16:27:25Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33C50; 33C55; 42A16; 42A82; 42C10; 43A35
dc.identifier.other	DOI:10.3842/SIGMA.2016.103
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148004
dc.description.abstract	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].	uk_UA
dc.description.sponsorship	The authors are grateful to the referees for their valuable comments and suggestions. Second author acknowledges partial financial support from FAPESP, grant 2014/00277-5. Likewise, the third author acknowledges support from the same foundation, under grants 2014/25796-5 and 2016/03015-7.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Strictly Positive Definite Kernels on a Product of Spheres II	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA