Approximation of Rough Functions

M. F. Barnsley, B. Harding, A. Vince +1

For given $p\in [1,\infty ]$ and $g\in L^p(\mathbb{R})$, we establish the existence and uniqueness of solutions $f\in L^p(\mathbb{R})$, to the equation \[ f(x)-af(bx)=g(x),…