A characterization of Gaussian law in Hilbert space.
A characterization of Gaussian measures
A class of Compound Poisson Distribution and its Stochastic Dervations
A connection between Gaussian processes and Markov processes.
A Distribution of Class L Arising in the Theory of Risk
A general purity law for convolution semigroups with discrete Levy measure.
A geometrical approach to the special stable distributions
A limit theorem for the moment of self-normalized sums.
A new version of Doeblin's theorem
A note on new classes of infinitely divisible distributions on .
A note on stability of multivariate distributions.
In this note we give an elementary proof of a characterization for stability of multivariate distributions by considering a functional equation.
A remark on the conditioning in limit theorems for dependent random vector in
A representation of infinitely divisible signed random measures.
A representation of the characteristic functions of stable distributions in Hilbert spaces
A stochastic fixed point equation related to weighted branching with deterministic weights.
A sufficient condition for the Carasso-Kato theorem.
A sufficient condition for the Carasso-Kato theorem (Erratum).
A survey on the general central limit problem in Banach spaces
About the density of spectral measure of the two-dimensional SaS random vector
In this paper, we consider a symmetric α-stable p-sub-stable two-dimensional random vector. Our purpose is to show when the function 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].
Accuracy of approximation in the Poisson theorem in terms of the -distance.