Our factorization theorem will simultaneously include factorization for weak infinite-dimensionality and for Property C, that is, for C-spaces. A corollary to our result will be that for any weight ae ...

In this note we shall generalize the Paley-Wiener theorem to self-adjoint operators similar to (−id/dx). By using a simple factorization result, it is shown that the Paley-Wiener theorem holds if Γ′(λ ...