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arXiv · 1410.4125

Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres

Victor S. Barbosa·Valdir A. Menegatto
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Abstract

Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ 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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BibTeXRIS

Victor S. Barbosa, Valdir A. Menegatto. 2015-02-13. Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres. https://doi.org/10.3842/sigma.2015.014

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