It is shown that every entire function f ∈ Exp0(Cn), f(0) ≠ 0 is "slowly decreasing". As an application of this property, a theorem on analytic continuation of solutions of infinite order differential equations with constant coefficients is proven.
Cite this article
Carlos A. Berenstein, Roger Gay, Alekos Vidras, Division Theorems in Spaces of Entire Functions with Growth Conditions and their Applications to PDE of Infinite Order. Publ. Res. Inst. Math. Sci. 30 (1994), no. 5, pp. 745–765