Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an L²-positive definite and zonal kernel on the unit sphere of Cq in order that the kernel can be recovered as a generalized convolution root of an equally positi...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2015 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147000 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres / V.S. Barbosa, V.A. Menegatto // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862591992211439616 |
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| author | Barbosa, V.S. Menegatto, V.A. |
| author_facet | Barbosa, V.S. Menegatto, V.A. |
| citation_txt | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres / V.S. Barbosa, V.A. Menegatto // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an L²-positive definite and zonal kernel on the unit sphere of Cq in order that the kernel can be recovered as a generalized convolution root of an equally positive definite and zonal kernel.
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| first_indexed | 2025-11-27T07:23:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147000 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T07:23:10Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Barbosa, V.S. Menegatto, V.A. 2019-02-12T18:14:53Z 2019-02-12T18:14:53Z 2015 Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres / V.S. Barbosa, V.A. Menegatto // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 19 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C55; 41A35; 41A63; 42A82; 42A85 DOI:10.3842/SIGMA.2015.014 https://nasplib.isofts.kiev.ua/handle/123456789/147000 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an L²-positive definite and zonal kernel on the unit sphere of Cq in order that the kernel can be recovered as a generalized convolution root of an equally positive definite and zonal kernel. The first author was partially supported by CAPES. The second one by FAPESP, under grant
 2014/00277-5. Special thanks goes to the anonymous referees for the careful reading of the paper
 and for pointing corrections and suggestions that led to this final form of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres Article published earlier |
| spellingShingle | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres Barbosa, V.S. Menegatto, V.A. |
| title | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres |
| title_full | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres |
| title_fullStr | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres |
| title_full_unstemmed | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres |
| title_short | Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres |
| title_sort | generalized convolution roots of positive definite kernels on complex spheres |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147000 |
| work_keys_str_mv | AT barbosavs generalizedconvolutionrootsofpositivedefinitekernelsoncomplexspheres AT menegattova generalizedconvolutionrootsofpositivedefinitekernelsoncomplexspheres |