A misleading example of a test function in space D from textbooks on Generalized Functions and Distributions
Mathematical Physics
2012-07-27 v3 Functional Analysis
math.MP
Abstract
In many textbooks on Generalized Functions and Distributions, we can find an example of infinitely differentiable function of bounded support from space D, called a bump function. This example is incorrect since this function is not infinitely differentiable.
Cite
@article{arxiv.1207.5274,
title = {A misleading example of a test function in space D from textbooks on Generalized Functions and Distributions},
author = {A. Tsionskiy and M. Tsionskiy},
journal= {arXiv preprint arXiv:1207.5274},
year = {2012}
}
Comments
This paper has been withdrawn by the authors