Functions of q-positive type

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

In this paper we characterize the subspace of $\mathcal{L}_{q,1,v}$ of
function which are the q-Bessel Fourier transform of positive functions in
$\mathcal{L}_{q,1,v}$. As application we give a q-version of the Bochner's
theorem.

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