Fourier transform of Radon measures on a locally compact group
Abbreviated Journal Title
Integral Transform. Spec. Funct.
locally compact groups; positive definite functions; Bochner theorem; pseudoquotients; Boehmians; Mathematics, Applied; Mathematics
A space of generalized functions is constructed that allows us to generalize Bochner's theorem so that all Radon measures on a locally compact group are in a one-to-one correspondence with elements of that space of generalized functions. This defines a Fourier transform for all Radon measures on a locally compact group.
Integral Transforms and Special Functions
"Fourier transform of Radon measures on a locally compact group" (2010). Faculty Bibliography 2010s. 6962.