Geodesic
Constrained extremal problems in~$H^2$ and Carleman's formulae
Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 922-957

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

We consider the extremal problem of best approximation to some function $f$ in $L^2(I)$, with $I$ a subset of the circle, by the trace of a Hardy function whose modulus is bounded pointwise by some gauge function on the complementary subset. Bibliography: 36 titles.
Keywords: Hardy spaces, extremal problems, approximations in the complex domain, Cauchy problem, inverse boundary problems. 
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     author = {L. Baratchart and J. Leblond and F. Seyfert},
     title = {Constrained extremal problems in~$H^2$ and {Carleman's} formulae},
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     number = {7},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2018_209_7_a1/}
}
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L. Baratchart; J. Leblond; F. Seyfert. Constrained extremal problems in~$H^2$ and Carleman's formulae. Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 922-957. http://geodesic.mathdoc.fr/item/SM_2018_209_7_a1/