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arxiv: 1605.02943 · v1 · pith:3YVITOJLnew · submitted 2016-05-10 · 🧮 math.PR

Modified Stieltjes Transform and Generalized Convolutions

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keywords stieltjestransformgeneralizedconvolutionsmodifiedallowscharacteristicclasses
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Classical Stieltjes Transform is modified in a way to generalize both Stieltjes and Fourier transforms. This transform allows to intro- duce new classes of commutative and non-commutative generalized convolutions. Key words: Stieltjes Transform; characteristic function; generalized convolution.

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