Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres

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 [...]-positive definite and zonal kernel on the unit sphere of [...] in order that the kernel can be recovered as a generalized convolution root of an equally...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2015-02, Vol.11
1. Verfasser: Barbosa, Victor S.
Format: Artikel
Sprache:eng
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Zusammenfassung:Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an [...]-positive definite and zonal kernel on the unit sphere of [...] in order that the kernel can be recovered as a generalized convolution root of an equally positive definite and zonal kernel. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2015.014