Abstract
We study composition operators on global classes of ultradifferentiable functions of Beurling type invariant under Fourier transform. In particular, for the classical Gelfand-Shilov classes Σd,d>1, we prove that a necessary condition for the composition operator Cψ:f↦f∘ψ to be well defined is the boundedness of ψ′. We find the optimal index d′ for which Cψ(Σd(R))⊂Σd′(R) holds for any non-constant polynomial ψ.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
