7 citations · 9 across the 11 of their papers we have counts for
12 papers
On Gelfand-Shilov spaces of type
I. Kh. Musin
Spaces of infinitely differentiable functions on (more general than Gelfand-Shilov spaces of type ) are considered in the article. Paley-Wiener type theorems a…
On weighted polynomial approximation
I. Kh. Musin
Let be a semi-continuous from below function such that $\lim \limits_{x \to \infty} \displaystyle \frac {\ln \varPhi(x)} {\Vert x \Vert} = +…
On a class of infinitely differentiable functions in admitting holomorphic extension in
I. Kh. Musin, P. V. Yakovleva
A space of infinitely differentiable functions in constructed with a help of a family of real-valued functions $φ_m…
On a Hilbert space of entire functions
I. Kh. Musin
A weighted Hilbert space of entire functions of variables is considered in the paper. The weight function is a convex function on depending on modul…
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 and such that their growth along is majorized with the help of a fam…
On a space of entire functions and its Fourier transformation
I. Kh. Musin
A space of entire functions of several complex variables rapidly decreasing on and such that their growth along is majorized with a help of a famil…
On a space of entire functions rapidly decreasing on and its Fourier transformation
I. Kh. Musin, M. I. Musin
A space of entire functions of several complex variables rapidly decreasing on and such that their growth along is majorized with a help of a famil…
On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in and its dual
I. Kh. Musin, P. V. Yakovleva
Description of linear continuous functionals on a space of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in in terms of the…
On a Space of Infinitely Differentiable Functions on an Unbounded Convex Set in Admitting Holomorphic Extension in and its Dual
I. Kh. Musin, P. V. Fedotova
We consider a space of infinitely smooth functions on an unbounded closed convex set in . It is shown that each function of this space can be extended to an entire f…
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…
Representation of Infinitely Differentiable Functions by Dirichlet Series
I. Kh. Musin
The problem of representation of elements of weighted space of infinitely differentiable functions on real line by exponential series is considered.
On the Fourier-Laplace Transform of Functionals on a Weighted Space of Infinitely Differentiable Functions
I. Kh. Musin
The strong dual space of linear continuous functionals on a weighted space G of infinitely differentiable functions defined on the real line is described in terms of their Fourier-…