1207.5274 (A. Tsionskiy et al.)

A misleading example of a test function in space D from textbooks on
Generalized Functions and Distributions    [PDF]

A. Tsionskiy, M. Tsionskiy

In many textbooks on Generalized Functions and Distributions (for example $\cite{LS66}$ - $\cite{RP98}$) 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.

View original: http://arxiv.org/abs/1207.5274