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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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148004 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1480042019-02-17T01:25:56Z Strictly Positive Definite Kernels on a Product of Spheres II Guella, J.C. Menegatto, V.A. Peron, A.P. 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]. 2016 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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]. |
| format |
Article |
| author |
Guella, J.C. Menegatto, V.A. Peron, A.P. |
| spellingShingle |
Guella, J.C. Menegatto, V.A. Peron, A.P. Strictly Positive Definite Kernels on a Product of Spheres II Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Guella, J.C. Menegatto, V.A. Peron, A.P. |
| author_sort |
Guella, J.C. |
| title |
Strictly Positive Definite Kernels on a Product of Spheres II |
| title_short |
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_sort |
strictly positive definite kernels on a product of spheres ii |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148004 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT guellajc strictlypositivedefinitekernelsonaproductofspheresii AT menegattova strictlypositivedefinitekernelsonaproductofspheresii AT peronap strictlypositivedefinitekernelsonaproductofspheresii |
| first_indexed |
2023-05-20T17:29:00Z |
| last_indexed |
2023-05-20T17:29:00Z |
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1796153397294923776 |