A Bochner-type representation of positive definite mappings on the dual of a compact group
A Bochner-type representation of positive definite mappings on the dual of a compact group
For an arbitrary compact group G with dual space Σ(G) a Bochner-type bijection is established between positive definite mappings on Σ(G) and central bounded measures on G.This bijection defined by the generalized Fourier transformation is based on the comparative study of three kinds of function algebras: the coefficient algebra, the …