Some precisions on the Fourier-Borel transform and infinite order differential equations
Glasgow mathematical journal, Tome 14 (1973) no. 2, pp. 161-167

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Let f(z) be an entire function (of several variables). We define the functionwhich is increasing. The orderof f(z) is the constant (perhaps infinite)
Gruman, Lawrence. Some precisions on the Fourier-Borel transform and infinite order differential equations. Glasgow mathematical journal, Tome 14 (1973) no. 2, pp. 161-167. doi: 10.1017/S0017089500001907
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