Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strictly positive definite kernels on two-point compact homogeneous
  spaces   We present a necessary and sufficient condition for the strict positive
definiteness of a real, continuous, isotropic and positive definite kernel on a
two-point compact homogeneous space. The characterization adds to others
previously obtained by D. Chen at all (2003) in the case in which the space is
a sphere of dimension at least 2 and Menegatto at all (2006) in the case in
which the space is the unit circle. As an application, we use the
characterization to improve upon a recent result on the differentiability of
positive definite kernels on the spaces.

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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci