Convergence rate of some semi-groups to their invariant probability

Some Holomorphic Semi-groups.

W ∗ k = {x ǫX|xǫ Domain (A(a1) . . .A (ak)) for all a1, . . . , akǫA} is dense inX in theweak* topology. Let {e1, . . . , en} be a basis forA and setAi = A(ei), A ∗ i = A(ei). If α = (α1, . . . , αk), 1 ≤ αi ≤ n, is a sequence of integers we denote a product such as Aα1 . . .Aαk byAα; |α| = k is the length ofα. The operatorB ◦ = Σ|α|≤maαAα (the coefficients are complex numbers) is defined on Wm...

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

On the rate of convergence to the semi-circular law

Let X = (Xjk) denote a Hermitian random matrix with entries Xjk, which are independent for 1 ≤ j ≤ k. We consider the rate of convergence of the empirical spectral distribution function of the matrix X to the semi-circular law assuming that EXjk = 0, EX 2 jk = 1 and that the distributions of the matrix elements Xjk have a uniform sub exponential decay in the sense that there exists a constant κ...

Some Existence Results for Semi-invariant Functions

Let δ = א0 be arbitrary. Recently, there has been much interest in the classification of continuously ultra-admissible functionals. We show that l′ ∈ U . O. Nehru’s derivation of multiplicative, almost everywhere null arrows was a milestone in descriptive measure theory. Therefore it is not yet known whether nf < D, although [3] does address the issue of continuity.

Convergence to invariant distribution