Strictly positive definite kernels on compact two-point homogeneous spaces (Q2805356)
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scientific article; zbMATH DE number 6579206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strictly positive definite kernels on compact two-point homogeneous spaces |
scientific article; zbMATH DE number 6579206 |
Statements
Strictly positive definite kernels on compact two-point homogeneous spaces (English)
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11 May 2016
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homogeneous space
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strict positive definiteness
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isotropy
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Jacobi polynomials
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A necessary and sufficient condition for the strict positive definiteness of a real, continuous, isotropic and positive definite kernel on a compact two-point homogeneous space is discussed. The characterization is achieved using special limit formulas for Jacobi polynomials and antipodal manifolds attached to points in the homogeneous spaces.
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