Asymptotic behavior of singular values of convolution operators (Q1820951)
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scientific article; zbMATH DE number 3996353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of singular values of convolution operators |
scientific article; zbMATH DE number 3996353 |
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Asymptotic behavior of singular values of convolution operators (English)
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1986
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The authors consider an operator equation of the form \[ \bar K\cdot =\int^{x}_{0}k(x-y)\cdot dy,\quad 0\leq x\leq 1 \] with \(K(u)=u^ nk(u)\), \(0\leq u\leq 1\) and \(k(u)\in c^ n[0,1]\) and k(0)\(\neq 0\). Asymptotic estimates of singular values are obtained by showing that the singular values of K(u) and those \(k(0)u^ n\) differ little for large indices.
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convolution operator
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operator equation
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Asymptotic estimates of singular values
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