Generalized localization of Riesz means of spectral expansions of distributions (Q1930816)

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scientific article; zbMATH DE number 6124964
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Generalized localization of Riesz means of spectral expansions of distributions
scientific article; zbMATH DE number 6124964

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    Generalized localization of Riesz means of spectral expansions of distributions (English)
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    14 January 2013
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    Given an arbitrary bounded domain \(\Omega\subset \mathbb R^n\), let \(L\) be a non-negative self-adjoint extension of the Laplace operator \(-\Delta\) in \(L_2(\Omega)\). The author studies the problem of generalized localization for the Riesz means of spectral expansions of \(L\) for distributions belonging to the Sobolev space \(H^{-l}\) with \(l>0\).
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    generalized localization
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    spectral expansion
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    Riesz means
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    Laplace operator
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