Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
Positive definite functions on spheres have received increasing interest in many branches of mathematics and statistics. In particular, the Schoenberg sequences in the spectral representation of positive definite functions have been studied by several mathematicians in recent years. This paper provi...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2019 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210071 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions / P.G. Bissiri, V.A. Menegatto, E. Porcu // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862679981756252160 |
|---|---|
| author | Bissiri, P.G. Menegatto, V.A. Porcu, E. |
| author_facet | Bissiri, P.G. Menegatto, V.A. Porcu, E. |
| citation_txt | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions / P.G. Bissiri, V.A. Menegatto, E. Porcu // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Positive definite functions on spheres have received increasing interest in many branches of mathematics and statistics. In particular, the Schoenberg sequences in the spectral representation of positive definite functions have been studied by several mathematicians in recent years. This paper provides a set of relations between Schoenberg sequences defined over real as well as complex spheres of different dimensions. We illustrate our findings by describing an application to strict positive definiteness.
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| first_indexed | 2025-12-07T21:24:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210071 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:16Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bissiri, P.G. Menegatto, V.A. Porcu, E. 2025-12-02T09:38:51Z 2019 Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions / P.G. Bissiri, V.A. Menegatto, E. Porcu // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C45; 42A16; 42A82; 42C10 arXiv: 1807.08184 https://nasplib.isofts.kiev.ua/handle/123456789/210071 https://doi.org/10.3842/SIGMA.2019.004 Positive definite functions on spheres have received increasing interest in many branches of mathematics and statistics. In particular, the Schoenberg sequences in the spectral representation of positive definite functions have been studied by several mathematicians in recent years. This paper provides a set of relations between Schoenberg sequences defined over real as well as complex spheres of different dimensions. We illustrate our findings by describing an application to strict positive definiteness. The authors are grateful to the Associate Editor and to the referees for their comments that allowed for an improved version of the manuscript. Research of Valdir A. Menegatto was partially supported by FAPESP, grant 2016/09906-0. Emilio Porcu is partially supported by grant FONDECYT 1130647 from the Chilean Ministry of Education, and by Millennium Science Initiative of the Ministry of Economy, Development, and Tourism, grant "Millennium Nucleus Center for the Discovery of Structures in Complex Data". en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions Article published earlier |
| spellingShingle | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions Bissiri, P.G. Menegatto, V.A. Porcu, E. |
| title | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions |
| title_full | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions |
| title_fullStr | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions |
| title_full_unstemmed | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions |
| title_short | Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions |
| title_sort | relations between schoenberg coefficients on real and complex spheres of different dimensions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210071 |
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