Modified Stieltjes Transform and Generalized Convolutions

10 May 2016 · Klebanov Lev B, Roozegar Rasool ·

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.