I. Musin

activity

20052019

collaborators

7 papers

math.FA2019

On Gelfand-Shilov spaces of type $W$

I. Kh. Musin

Spaces of infinitely differentiable functions on $R^{n}$ (more general than Gelfand-Shilov spaces of type $W_{M}$ ) are considered in the article. Paley-Wiener type theorems a…

math.FA2017

On weighted polynomial approximation

I. Kh. Musin

Let $Φ : R^{n} \to [1, \infty)$ be a semi-continuous from below function such that $\lim \limits_{x \to \infty} \displaystyle \frac {\ln \varPhi(x)} {\Vert x \Vert} = +…

math.CV2017

On a class of infinitely differentiable functions in $R^{n}$ admitting holomorphic extension in $C^{n}$

I. Kh. Musin, P. V. Yakovleva

A space $G (M, Φ)$ of infinitely differentiable functions in $R^{n}$ constructed with a help of a family $Φ = {φ_{m}}_{m = 1}^{\infty}$ of real-valued functions $φ_m…

math.CV2017

On a Hilbert space of entire functions

I. Kh. Musin

A weighted Hilbert space $F_{φ}^{2}$ of entire functions of $n$ variables is considered in the paper. The weight function $φ$ is a convex function on $C^{n}$ depending on modul…

math.FA2017

On a space of entire functions and its Fourier transform

I. Kh. Musin

A space of entire functions of several complex variables rapidly decreasing on $R^{n}$ and such that their growth along $i R^{n}$ is majorized with the help of a fam…

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…

On Gelfand-Shilov spaces of type W

On weighted polynomial approximation

On a class of infinitely differentiable functions in Rn admitting holomorphic extension in Cn

On a Hilbert space of entire functions

On a space of entire functions and its Fourier transform

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

On Gelfand-Shilov spaces of type $W$

On a class of infinitely differentiable functions in $R^{n}$ admitting holomorphic extension in $C^{n}$

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