On the Steinhaus and Bergman Properties for Infinite Products of Finite Groups

On the Bergman and Steinhaus Properties for Infinite Products of Finite Groups

We study the relationship between the existence of nonprincipal ultrafilters over ω and the failure of the Bergman and Steinhaus properties for infinite products of finite groups.

On Some Properties of Analytic Spaces Connected with Bergman Metric Ball

Infinite-dimensional General Linear Groups Are Groups of Universally Finite Width

Recently George Bergman proved that the symmetric group of an infinite set possesses the following property which we call by the universality of finite width: given any generating set X of the symmetric group of an infinite set Ω, there is a uniform bound k such that any permutation σ ∈ Sym(Ω) is a product of at most k elements of X∪X. Bergman also formulated a sort of general conjecture statin...

$L^p$ boundedness of the Bergman projection on some generalized Hartogs triangles

‎In this paper we investigate a two classes of domains in $mathbb{C}^n$ generalizing the Hartogs triangle‎. ‎We prove optimal estimates for the mapping properties of the Bergman projection on these domains.

Infinite product representation of solution of indefinite SturmLiouville problem

In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. N...