The Fourier transform of Levy measures on a semigroup
Abbreviated Journal Title
Integral Transform. Spec. Funct.
pseudoquotients; Levy measures; Levy-Khinchin formula; POSITIVE-DEFINITE FUNCTIONS; Mathematics, Applied; Mathematics
Using completely positive-definite functions defined on a commutative semigroup, we construct a space of pseudoquotients that can be identified, via a Fourier transform, with a class of Levy measures. As an application we obtain a generalization of the Levy-Khinchin representation for completely alternating functions.
Integral Transforms and Special Functions
"The Fourier transform of Levy measures on a semigroup" (2008). Faculty Bibliography 2000s. 86.