Uniqueness theorem for representation of functions by multiplicative transformations (Q1803066)
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scientific article; zbMATH DE number 220210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness theorem for representation of functions by multiplicative transformations |
scientific article; zbMATH DE number 220210 |
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Uniqueness theorem for representation of functions by multiplicative transformations (English)
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29 June 1993
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The paper deals with the integral transform \(\int^ \infty_ 0 a(x) \chi(x,y) dx\) with \(a(x) \in L^ 1_{\text{loc}} [0,\infty)\), where the kernel \(\chi(x,y)\) is a continual analogue of multiplicative orthonormal systems. An inversion formula of this transform is found by means of summability of \((C,1)\) type.
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multiplicative transformations
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integral transform
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inversion formula
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