Bonet Solves, José Antonio; DOMANSKI, PAWEL(Springer-Verlag, 2017-01)
[EN] In this paper the spectrum of composition operators on the space of real analytic functions is investigated. In some cases it is completely determined while in some other cases it is only estimated.
Bonet Solves, José Antonio; Domanski, Pawel(Springer Verlag (Germany), 2015-04)
We obtain full description of eigenvalues and eigenvectors
of composition operators Cϕ : A (R) → A (R) for a real analytic self
map ϕ : R → R as well as an isomorphic description of corresponding
eigenspaces. We completely ...
Bonet Solves, José Antonio; Domański, Paweł(Cambridge University Press, 2012-11)
We study the dynamical behaviour of composition operators C φ defined on spaces A(Ω) of real analytic functions on an open subset Ω of ℝ d. We characterize when such operators are topologically transitive, i.e. when for ...
Bonet Solves, José Antonio; Domanski, P.(Springer Milan, 2011-01)
We study the dynamical behaviour of composition operators defined on spaces of real analytic functions. We characterize when such operators are power bounded, i.e. when the orbits of all the elements are bounded. In this ...