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...
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147000 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147000 |
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| record_format |
dspace |
| spelling |
irk-123456789-1470002019-02-13T01:23:53Z Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres Barbosa, V.S. Menegatto, V.A. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147000 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 |
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. |
| format |
Article |
| author |
Barbosa, V.S. Menegatto, V.A. |
| spellingShingle |
Barbosa, V.S. Menegatto, V.A. Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Barbosa, V.S. Menegatto, V.A. |
| author_sort |
Barbosa, V.S. |
| title |
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres |
| title_short |
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_sort |
generalized convolution roots of positive definite kernels on complex spheres |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147000 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT barbosavs generalizedconvolutionrootsofpositivedefinitekernelsoncomplexspheres AT menegattova generalizedconvolutionrootsofpositivedefinitekernelsoncomplexspheres |
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2023-05-20T17:26:17Z |
| last_indexed |
2023-05-20T17:26:17Z |
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1796153292949028864 |