i have changed the function
there was a mistake
http://mathworld.wolfram.com/HaarFunction.html
calculate the foorier function with haar group
here is the solution:
i dont know why i have latex error here the code is
e_1=\phi_{0,0}(x)=\begin{Bmatrix}1,0\leq x\leq 0.5
\\
-1,-0.5\leq x\leq 1
end{Bmatrix}\\
i dont know how they chose which haar function to take for the basis of of this serires
i could say that i take haar function with n=10
so my j=0..2^10
and i whould have much more e's
how they chose what haar sections to take as the orthonormal group
?