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 ...
A factorization theorem is proved in the Hardy spaces Hp of the bi-upper half plane, $0 < p \leq 1$. The proof is based on some fundamental work of Chang-Fefferman on atomic decompositions of Hp.
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