Related Articles ( Sobolev spaces, regular distributions, smoothing algebra, slice analysis, partial dynamical system, locally convex spaces )
Partial Dynamical Systems of Lp-Spaces and their Stability Spaces
In this paper, we consider the partial dynamical systems of the locally convex, Lp(W)-spaces defined by the action of the smooth algebra K (W) through its nets. Slice analysis is then employed to show that the Sobolev spaces Wk,p(W) are the stable states or space of these partial dynamical systems as ...