Spectral synthesis on algebras of Jacobi polynomial series (Q791811)
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scientific article; zbMATH DE number 3851733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral synthesis on algebras of Jacobi polynomial series |
scientific article; zbMATH DE number 3851733 |
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Spectral synthesis on algebras of Jacobi polynomial series (English)
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1984
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Let A\(J(\alpha\),\(\beta)\) be the algebra of Jacobi polynomial series, which converge on \([-1,1]\). A complete characterization of its closed ideals with one point cospectrum is given. In particular, points in \((- 1,1)\) are shown to be of spectral synthesis if and only if \(\alpha<1/2\).
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spectral synthesis
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Jacobi polynomials
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algebra of Jacobi polynomial series
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one point cospectrum
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