The Plancherel and Hausdorff-Young type theorems for an index transformation (Q2494613)
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| Language | Label | Description | Also known as |
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| English | The Plancherel and Hausdorff-Young type theorems for an index transformation |
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The Plancherel and Hausdorff-Young type theorems for an index transformation (English)
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14 July 2006
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The Plancherel and Hausdorff-Young type theorems are proved for an integral transformation involving the product of modified Bessel functions of the type \(K_{\nu}(z)\) with arguments \(\sqrt{x^2+y^2}\pm y\). The Riesz-Thorin interpolation theorem is used to estimate the norm for this transformation.
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Plancherel theorem
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Hausdorff-Young theorem
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Bessel functions
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Riesz-Thorin interpolation theorem
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norm
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integral transformation
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