Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials (Q1084460)
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scientific article; zbMATH DE number 3979239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials |
scientific article; zbMATH DE number 3979239 |
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Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials (English)
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1985
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Some interesting upper bounds are obtained for the number of connected components of the complement to the zero set of a harmonic polynomial of degree \(m\) in \({\mathbb{R}}^ n\). The related problem of studying zero sets of spherical functions in \(S^ n\) is also treated.
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number of connected components
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harmonic polynomial
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spherical functions
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