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Sur l’approximation par certaines fonction entières. (French) Zbl 0094.04403

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[1] S. N. MERGELYAN , L’approximation polynomiale pondérée [Ouspekhi Mat. Naouk, t. 11, 1956 , fasc. 5 (en russe)].
[2] E. J. AKUTOWICZ , On extrapolating a positive definite function from a finite interval (Math. Scand., t. 7, 1959 ). MR 22 #876 | Zbl 0090.09602 · Zbl 0090.09602 · eudml:165710
[3] M. KREIN , Sur le problème du prolongement des fonctions hermitiennes positives et continues [C. R. Acad. Sc. U. R. S. S. (Doklady) (N. S.), t. 26, 1940 ]. MR 2,361h | Zbl 0022.35302 | JFM 66.0512.03 · Zbl 0022.35302 · www.emis.de
[4] E. J. AKUTOWICZ , On the determination of the phase of a Fourier integral , I (Trans. Amer. Math. Soc., t. 83, 1956 ). MR 18,304d | Zbl 0073.08403 · Zbl 0073.08403 · doi:10.2307/1992910
[5] W. W. ROGOSINSKI and H. S. SHAPIRO , On certain extremum problems for analytic functions (Acta Math., t. 90, 1953 ). MR 15,516a | Zbl 0051.05604 · Zbl 0051.05604 · doi:10.1007/BF02392438
[6] S. Y. HAVINSON , Problèmes extrémaux pour certaines classes des fonctions analytiques dans les domaines à connexion finie (Mat. Sbornik, t. 36, n^\circ 78, 1955 ). MR 17,247e
[7] E. J. AKUTOWICZ , Sur l’approximation par certaines fonctions entières (C. R. Acad. Sc., t. 250, 1960 ). MR 22 #12234 | Zbl 0089.28301 · Zbl 0089.28301
[8] H. POLLARD , The Bernstein Approximation Problem (Proc. Amer. Math. Soc., t. 6, 1955 ). Zbl 0068.04801 · Zbl 0068.04801 · doi:10.2307/2032781
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