Functions of q-positive type

Lazhar Dhaouadi (1)

1 Analyse harmonique et fonctions spéciales

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.

Domaines: Analyse classique [math.CA]; Mathématiques générales [math.GM]

Lazhar Dhaouadi. Functions of q-positive type. Positivity, 2012, 16, pp.107-129. ⟨10.1007/s11117-011-0115-y⟩. ⟨hal-00162012⟩