Weighted approximation, Mergelyan's theorem and quasi-analytic classes

Analytic Approximation Theorem

Quasi-analytic Vectors and Quasi-analytic Functions

On Quasi-Hadamard Product of Certain Classes of Analytic Functions

The main purpose of this paper is to derive some quasi-Hadamard product properties for certain classes of analytic functions which are defined by means of the Salagean operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

Quasi - Hadamard product of certain classes of uniformly analytic functions

In this paper, we establish certain results concerning the quasiHadamard product of certain classes of uniformly analytic functions. 2000 Mathematics Subject Classification: 30C45.

Quasi-Valuations - Topology and the Weak Approximation Theorem

Suppose F is a field with a nontrivial valuation v and valuation ring Ov, E is a finite field extension and w is a quasi-valuation on E extending v. We study the topology induced by w. We prove that the quasi-valuation ring determines the topology, independent of the choice of its quasi-valuation. Moreover, we prove the weak approximation theorem for quasi-valuations.