On a Fr\'echet space of entire functions rapidly decreasing on the real line
Complex Variables
2013-01-11 v1
Abstract
A weighted space of entire functions rapidly decreasing on the real line is considered in the paper. A growth of these functions along the imaginary axis is controlled by some system of weight functions. The Fourier transform of functions of this space is studied. Equivalent description of the considered space in terms of estimates on derivatives of functions on real line is obtained.
Keywords
Cite
@article{arxiv.1301.2037,
title = {On a Fr\'echet space of entire functions rapidly decreasing on the real line},
author = {Marat Musin},
journal= {arXiv preprint arXiv:1301.2037},
year = {2013}
}
Comments
16 pages