The question as stated: Define the uniform linear splines $H_{k}$:=$H_0$$(x-k)$, $k= -1,0,1,2,3,$ where
$H_0$={$x+1$, 0$\le$x$\lt$1
$2-x$, 1$\le$x$\lt$2,
$0$, otherwise
For $k=-1$, I would get:
$H_{-1}$={x+1, 1$\le$x$\lt$2
$1-x$, 2$\le$x$\lt$3
$0$, otherwise
Is that correct?
Thank you.
