Smooth invariant foliations and Koopman eigenfunctions about stable equilibria of semiflows

Gergely Buza

We consider a $C^r$ semiflow $\{{\phi }_t{\}}_{t\ge 0}$ on a Banach space $X$ admitting a stable fixed point $x$. We show, along the lines of the parameterization method (Cabré et al.,…