On the Riesz means of expansions by Riesz bases formed by eigenfunctions of the Schrödinger operator (Q1105753)
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scientific article; zbMATH DE number 4059864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Riesz means of expansions by Riesz bases formed by eigenfunctions of the Schrödinger operator |
scientific article; zbMATH DE number 4059864 |
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On the Riesz means of expansions by Riesz bases formed by eigenfunctions of the Schrödinger operator (English)
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1987
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The author proves a result on the convergence of Riesz means of expansions with respect to Riesz bases \(\{u_ k\}\) of \(\sigma_ k\)-th order eigenfunctions of a nonself-adjoint one-dimensional Schrödinger operator on a bounded interval. The result extends earlier results of \textit{I. Joó} and \textit{V. Komornik} [Acta. Sci. Math. 46, 357-375 (1983; Zbl 0537.34019)] to the case where Im \(\sqrt{\lambda_ k}\) needs not be bounded.
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Riesz means
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Riesz bases
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Schrödinger operator
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