Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres

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.

References in corpus (1)

• A Multiplier Version of the Bernstein Inequality on the Complex Sphere