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Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Singular integrals self-similar sets removability Heisenberg group
2011/1/20
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind are Euclidean space...
On p-adic analogue of q-Bernstein polynomials and related integrals
q-Bernstein polynomial Bernoulli numbers and poly-nomials p-adic q-integral
2010/12/8
Recently, T. Kim([5]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips q-Bernstein polynomials([11, 12]). The purpose of this paper is to study some propertie...
On the Gaussian approximation of vector-valued multiple integrals
Central limit theorem Cumulants Malliavin calculus Multiple integrals
2010/12/1
By combining the findings of two recent, seminal papers by Nualart, Peccati and Tudor, we get that the convergence in law of any sequence of vector-valued multiple integrals Fn towards a centered Gaus...