J. C. Guella, V. A. Menegatto, Ana P. Peron
Published 2015-03-27Version 1
We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on positive definiteness on a single sphere. We also discuss a few issues regarding the characterization, including topics for future investigation.
A new characterization of Sobolev spaces on $\mathbb{R}^n$
Notes on the characterization of derivations
Characterization of certain sequences of $q$-polynomials
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