Autor:	Pesenson, Isaac Z.
Rok vydání:	2014
Předmět:	Mathematics - Functional Analysis
Zdroj:	Sampling Theory in Signal and Image Processing, Vol. 14, No. 1, 2015, pp, 1-16
Druh dokumentu:	Working Paper
Popis:	We extend some results about sampling of entire functions of exponential type to Banach spaces. By using generator $D$ of one-parameter group $e^{tD}$ of isometries of a Banach space $E$ we introduce Bernstein subspaces $\mathbf{B}_{\sigma}(D),\>\>\sigma>0,$ of vectors $f$ in $E$ for which trajectories $e^{tD}f$ are abstract-valued functions of exponential type which are bounded on the real line. This property allows to reduce sampling problems for $e^{tD}f$ with $f\in \mathbf{B}_{\sigma}(D)$ to known sampling results for regular functions of exponential type $\sigma$. Comment: submitted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.0292 Zobrazit plný text záznamu View this record from Arxiv