Strictly Positive Definite Kernels on a Product of Spheres II
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148004 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575753935192064 |
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| author | Guella, J.C. Menegatto, V.A. Peron, A.P. |
| author_facet | Guella, J.C. Menegatto, V.A. Peron, A.P. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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].
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| first_indexed | 2025-11-26T13:22:14Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148004 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T13:22:14Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Guella, J.C. Menegatto, V.A. Peron, A.P. 2019-02-16T16:27:25Z 2019-02-16T16:27:25Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/148004 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]. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Strictly Positive Definite Kernels on a Product of Spheres II Article published earlier |
| spellingShingle | Strictly Positive Definite Kernels on a Product of Spheres II Guella, J.C. Menegatto, V.A. Peron, A.P. |
| title | Strictly Positive Definite Kernels on a Product of Spheres II |
| title_full | Strictly Positive Definite Kernels on a Product of Spheres II |
| title_fullStr | Strictly Positive Definite Kernels on a Product of Spheres II |
| title_full_unstemmed | Strictly Positive Definite Kernels on a Product of Spheres II |
| title_short | Strictly Positive Definite Kernels on a Product of Spheres II |
| title_sort | strictly positive definite kernels on a product of spheres ii |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148004 |
| work_keys_str_mv | AT guellajc strictlypositivedefinitekernelsonaproductofspheresii AT menegattova strictlypositivedefinitekernelsonaproductofspheresii AT peronap strictlypositivedefinitekernelsonaproductofspheresii |