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Modified Stieltjes Transform and Generalized Convolutions (1605.02943v1)

Published 10 May 2016 in math.PR

Abstract: 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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