Geodesic
Modulus of Continuity of Piecewise Analytic Functions
Matematičeskie zametki, Tome 73 (2003) no. 1, pp. 63-76

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain conditions under which the modulus of continuity of a piecewise analytic function given on a closed interval of the real axis is an analytic function in a neighborhood of zero. 
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A. A. Dovgoshey; L. L. Potemkina. Modulus of Continuity of Piecewise Analytic Functions. Matematičeskie zametki, Tome 73 (2003) no. 1, pp. 63-76. http://geodesic.mathdoc.fr/item/MZM_2003_73_1_a5/