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International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 14:30–14:55, Приближения функций и гармонический анализ. I, Moscow, Steklov Mathematical Institute of RAS
 


О структуре множества сходимости равномерно ограниченной последовательности полиномов

V. A. Belyaev

Kaluga Branch of Bauman Moscow State Technical University
Supplementary materials:
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Supplementary materials: abstract.pdf (177.0 Kb)

References
  1. P. M. Montel, “Lecons sur les series de polinomes d'une variable complexe”, Collect. Borel, 1 (1910), 1–128
  2. M. A. Lavrentieff, “Sur les fonctions d'une variable complexe representatles par des series de polinomes”, Actual. sci. et. industr., 441 (1936), 1–62
  3. G. M. Goluzin, Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Gostekhizdat, Moskva, 1952
  4. S. N. Mergelyan, “O nekotorykh klassakh mnozhestv i ikh prilozheniyakh”, Nekotorye problemy matematiki i mekhaniki, 1961, 133–172
  5. S. N. Mergelyan, A. A. Danielyan, “O posledovatelnostyakh polinomov, skhodyaschikhsya na mnozhestvakh tipa $ F_{\sigma}$”, DAN Arm SSR, 1988, 54–56  mathscinet
  6. V. A. Belyaev, “Opisanie struktury mnozhestva polinomialnoi skhodimosti v kompleksnoi ploskosti”, DAN ANSSSR, 1990, 1296–1298  zmath
 
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