Geodesic
Nonlinear interpolation and norm minimization
Matematičeskie zametki, Tome 58 (1995) no. 4, pp. 512-524.

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

We prove that the set of convolution-type functions in $\mathbb R_d$ that satisfy the interpolation conditions contains a unique function whose convolution element has the minimum $L_p$-norm. The extremal function is determined by solving a nonlinear interpolation problem. The results are applied to an operator recovery problem. 
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A. A. Zhensykbaev. Nonlinear interpolation and norm minimization. Matematičeskie zametki, Tome 58 (1995) no. 4, pp. 512-524. http://geodesic.mathdoc.fr/item/MZM_1995_58_4_a3/

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