On Stieltjes transform of Banach-space-valued distributions (Q1825410)
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scientific article; zbMATH DE number 4120805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Stieltjes transform of Banach-space-valued distributions |
scientific article; zbMATH DE number 4120805 |
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On Stieltjes transform of Banach-space-valued distributions (English)
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1989
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The generalized Stieltjes transformation \[ F(x)=s^{mp-1}\Gamma (\rho)\int^{\infty}_{0}f(t)(s^ m+t^ m)^{-\rho} dt\quad (m,\rho >0) \] has been extended to certain Banach-space-valued distributions and an inversion formula for the distributional transform has been derived.
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inversion formula
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generalized Stieltjes transformation
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Banach-space- valued distributions
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inversion formula for the distributional transform
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