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In this paper, we consider a symmetric α-stable p-sub-stable twodimensional random vector. Our purpose is to show when the function exp { − (|a|p + |b|p) } is a characteristic function of such a vector for some p and α. The solution of this problem we can find in [3], in the language of isometric embeddings of Banach spaces. Our proof is based on simple properties of stable distributions and some characterization given in [4].

About the density of spectral measure of the two-dimensional SaS random vector