Geodesic
The divisor of a generalized analytic function
Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 655-661 Cet article a éte moissonné depuis la source Math-Net.Ru

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For generalized analytic functions, we define the order of a zero and prove the following division theorem: if the orders of zeros of the numerator majorize those of the denominator, then the fraction is a generalized analytic function. 
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S. A. Grigoryan. The divisor of a generalized analytic function. Matematičeskie zametki, Tome 61 (1997) no. 5, pp. 655-661. http://geodesic.mathdoc.fr/item/MZM_1997_61_5_a1/

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