Geodesic
An Application of Logic to Analysis
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 83-91

Voir la notice de l'article provenant de la source Cambridge University Press

Let F be a complex analytic subvariety of an open subset of Cn and p ε V let be the germs at p of holomorphic, weakly holomorphic, infinitely differentiable, and k times continuously differentiate functions respectively. Spallek [15] has shown that for any p £ V there exists an integer such that , generalizing the result of Malgrange [12] that .In [14], Siu proved Spallek's result from a more sheaf theoretic point of view and showed the minimal integer function is bounded on compact sets. Bloom [7] reproved Malgrange's result by using differential operators on varieties. 
Becker, Joseph; Lipshitz, Leonard. An Application of Logic to Analysis. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 83-91. doi: 10.4153/CJM-1976-009-x
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