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arxiv: 0707.2007 · v1 · submitted 2007-07-13 · 🧮 math.CA

Functions of q-positive type

classification 🧮 math.CA
keywords functionsmathcalapplicationbochnercharacterizefourierfunctiongive
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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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