density, translation invariant kernels, radial kernels
In this paper we investigate conditions on the features of a continuous kernel so that it may approximate an arbitrary continuous target function uniformly on any compact subset of the input space. A number of concrete examples are given of kernels with this universal approximating property.
Micchelli, Charles A.; Xu, Yuesheng; and Zhang, Haizhang, "Universal Kernels" (2006). Mathematics Faculty Scholarship. Paper 4.
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