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On the stability of conditional bases in \(L^2[-\pi,\pi]\) - MaRDI portal

On the stability of conditional bases in \(L^2[-\pi,\pi]\) (Q841451)

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scientific article; zbMATH DE number 5604245
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On the stability of conditional bases in \(L^2[-\pi,\pi]\)
scientific article; zbMATH DE number 5604245

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    On the stability of conditional bases in \(L^2[-\pi,\pi]\) (English)
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    16 September 2009
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    Here the conditions for the multiplication by a weight \(w(t)\) that make the system \((w(t)e^{i\lambda_n t}\}\) a conditional basis for \(L^2[-\pi,\pi]\) are considered, and a stability result on such bases is investigated.
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    Riesz bases
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    conditional bases
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    Muckenhoupt condition \((A_2)\)
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