P. Fedotova

collaborators

2 papers

math.CV2009

On a Space of Infinitely Differentiable Functions on an Unbounded Convex Set in $R^{n}$ Admitting Holomorphic Extension in $C^{n}$ and its Dual

I. Kh. Musin, P. V. Fedotova

We consider a space of infinitely smooth functions on an unbounded closed convex set in $R^{n}$ . It is shown that each function of this space can be extended to an entire f…

math.CA2005

Approximation by polynomials in a weighted space of infinitely differentiable functions

P. V. Fedotova, I. Kh. Musin

The density of polynomials in a weighted space of infinitely differentiable functions in a multidimensional real space is proved under minimal conditions on weight functions and on…

On a Space of Infinitely Differentiable Functions on an Unbounded Convex Set in Rn Admitting Holomorphic Extension in Cn and its Dual

Approximation by polynomials in a weighted space of infinitely differentiable functions

On a Space of Infinitely Differentiable Functions on an Unbounded Convex Set in $R^{n}$ Admitting Holomorphic Extension in $C^{n}$ and its Dual