On the Lebedev transformation in Hardy's spaces (Q1777875)
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scientific article; zbMATH DE number 2171803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Lebedev transformation in Hardy's spaces |
scientific article; zbMATH DE number 2171803 |
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On the Lebedev transformation in Hardy's spaces (English)
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25 May 2005
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In this interesting paper the author establishes the inverse Lebedev expansion with respect to parameters and arguments of the modified Bessel functions in Hardy space. Boundedness and inversion properties of this transform are also studied. Use of Fubini's theorem, generalized Minkowski inequality, Schwarz inequality are made. Some known results follow as special cases of the findings of the paper.
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Plancherel theorem
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Lebedev transformation
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Kontorovich-Lebedev transform
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inverse Lebedev expansion
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modified Bessel functions
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Hardy space
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boundedness
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inversion properties
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0.7933228611946106
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