Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Musin, I. Kh."'
Autor:
Musin, I. Kh.
Spaces of infinitely differentiable functions on ${\mathbb R}^n$ (more general than Gelfand-Shilov spaces of type $W_M$) are considered in the article. Paley-Wiener type theorems are obtained.
Comment: arXiv admin note: text overlap with arXiv:1
Comment: arXiv admin note: text overlap with arXiv:1
Externí odkaz:
http://arxiv.org/abs/1910.04577
Autor:
Musin, I. Kh.
Let $\varPhi:{\mathbb R}^n \to [1, \infty)$ be a semi-continuous from below function such that $\lim \limits_{x \to \infty} \displaystyle \frac {\ln \varPhi(x)} {\Vert x \Vert} = +\infty$. It is shown that polynomials are dense in $C_{\varPhi}({\math
Externí odkaz:
http://arxiv.org/abs/1712.09314
Autor:
Musin, I. Kh., Yakovleva, P. V.
A space $G(M, \varPhi)$ of infinitely differentiable functions in ${\mathbb R}^n$ constructed with a help of a family $\varPhi=\{\varphi_m\}_{m=1}^{\infty}$ of real-valued functions $\varphi_m \in~C({\mathbb R}^n)$ and a logarithmically convex sequen
Externí odkaz:
http://arxiv.org/abs/1712.05125
Autor:
Musin, I. Kh.
A weighted Hilbert space $F^2_{\varphi}$ of entire functions of $n$ variables is considered in the paper. The weight function $\varphi$ is a convex function on ${\mathbb C}^n$ depending on modules of variables and growing at infinity faster than $a \
Externí odkaz:
http://arxiv.org/abs/1710.06143
Autor:
Musin, I. Kh.
Publikováno v:
Concrete Operators. 2015. Volume 2, Issue 1. P. 120-138
A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with the help of a family of weight functions is considered in this paper. For such space an
Externí odkaz:
http://arxiv.org/abs/1703.04326
Autor:
Musin, I. Kh.
Let $\mu \in {\cal E}'({\mathbb R}^n)$ be a compactly supported distribution such that its support is a convex set with non-empty interior. Let $X_2$ be a convex domain in ${\mathbb R}^n$, $X_1 = X_2 + supp \ \mu $. Assuming that a convolution operat
Externí odkaz:
http://arxiv.org/abs/1612.05370
Autor:
Musin, I. Kh.
A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with a help of a family of weight functions (not radial in general) is considered in the pap
Externí odkaz:
http://arxiv.org/abs/1501.02880
Autor:
Musin, I. Kh., Musin, M. I.
A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with a help of a family of weight functions is considered in the paper. For this space an eq
Externí odkaz:
http://arxiv.org/abs/1411.3478
Autor:
Musin, I. Kh., Yakovleva, P. V.
Description of linear continuous functionals on a space of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in $\mathbb R^n$ in terms of their Fourier-Laplace transform is obtained.
Comment: LaTeX, 24 page
Comment: LaTeX, 24 page
Externí odkaz:
http://arxiv.org/abs/1003.3302
Autor:
Musin, I. Kh., Fedotova, P. V.
We consider a space of infinitely smooth functions on an unbounded closed convex set in ${\mathbb R}^n$. It is shown that each function of this space can be extended to an entire function in ${\mathbb C}^n$ satisfying some prescribed growth condition
Externí odkaz:
http://arxiv.org/abs/0908.2528