Spectral synthesis on algebras of Jacobi polynomial series
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 \(\alpha<1/2\).
scientific article; zbMATH DE number 3851733