Strictly positive definite kernels on a product of circles
We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles.
math.CA↗
arXiv subjects
Publications and source records attributed to J. C. Guella.
We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles.
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.