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Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Інший ID:
2010 Mathematics Subject Classification: 33C55; 41A35; 41A63; 42A82; 42A85
DOI:10.3842/SIGMA.2015.014
DOI:10.3842/SIGMA.2015.014
Посилання:
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.
Підтримка:
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.
Дата:
2015
Переглядів:
581
Завантажень:
241
Анотація:
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.
