Hamel function
HamelFunction
2004-03-13 19:19:16
2004-04-30 13:25:51
Definition
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A function $h : \mathbb{R}^n \to \mathbb{R}$ is said to be a \emph{Hamel function} if $h$, considered as a subset $\{(x,h(x)\}\subset \mathbb{R}^{n+1}$, is a Hamel basis for $\mathbb{R}^{n+1}$ over $\mathbb{Q}$. We denote the set of $n$-dimensional Hamel function by $HF(\mathbb{R}^n)$.
{\bf References}
\begin{itemize}
\item Poltka, K. \emph{On Functions Whose Graph is a Hamel Basis}. Unpublised Ph.D. work. Online at \url{http://academic.scranton.edu/faculty/PLOTKAK2/publications/ham_0911.pdf}
\end{itemize}