ABSTRACT

Indeed, (ii) gives (1) for g = fw while (1) gives (ii) for / = gw. Since a is dampable and continuous there exist a damper v and a continuous, integrable differential p > 0 such that \a\ = vp. Thus (1) is equivalent to r = gvp, hence to

(2) r + = g+vp, r~ — g~vp for some function g on K.