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Неравенства Винера–Ингама для лакунарных тригонометрических рядов

A. G. Babenko, V. A. Yudin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg


References
  1. Wiener N., “A class of gap theorems”, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze $2^e$ série, 3:3-4 (1934), 367–372  mathscinet  zmath
  2. Ingham A.E., “Some trigonometrical inequalities with applications to the theory of series”, Math. Z., 41:1 (1936), 367–379  crossref  mathscinet  zmath  scopus
  3. Selberg A., Collected papers, Volume II, Springer-Verlag, Berlin, 1991, viii+253 с.  zmath
  4. Vaaler J.D., “Some extremal functions in Fourier analysis”, Bull. Amer. Math. Soc. (New Series), 12:2 (1985), 183–216  crossref  mathscinet  zmath
  5. Babenko A.G., Kryakin Yu.V., Yudin V.A., “Odnostoronnee priblizhenie v $L$ kharakteristicheskoi funktsii intervala trigonometricheskimi polinomami”, Tr. IMM UrO RAN, 18:1 (2012), 82–95  mathnet; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 39–52  crossref  isi


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