On a space of entire functions rapidly decreasing on ${\mathbb R}^n$ and its Fourier transformation

Autor:	Musin, I. Kh., Musin, M. I.
Rok vydání:	2014
Předmět:	Mathematics - Complex Variables Mathematics - Functional Analysis 32A15 42B10 46E10 46F05 42A38
Druh dokumentu:	Working Paper
Popis:	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 equivalent description in terms of estimates on all partial derivatives of functions on ${\mathbb R}^n$ and Paley-Wiener type theorem are obtained. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1411.3478 Zobrazit plný text záznamu View this record from Arxiv