论文标题
$ 2 $ -SPHERE上的严格积极的确定内核：超越径向对称性
Strictly positive definite kernels on the $2$-sphere: beyond radial symmetry
论文作者
论文摘要
本文引入了对2个球体上核的严格阳性确定性的新表征，而没有假设核在径向上（各向同性）或轴对称。结果在球形谐波中使用核的系列扩展。然后，对于具有扩展系数的块结构的内核证明了其他足够的条件。这些概括了Chen等人得出的结果。 2003年径向核至非radial仁。
The paper introduces a new characterisation of strictly positive definiteness for kernels on the 2-sphere without assuming the kernel to be radially (isotropic) or axially symmetric. The results use the series expansion of the kernel in spherical harmonics. Then additional sufficient conditions are proven for kernels with a block structure of expansion coefficients. These generalise the result derived by Chen et al. 2003 for radial kernels to non-radial kernels.
