We prove that for any ε>0 and any trigonometric polynomial f with frequencies in the set {n^3: N ≤ n≤ N+N^2/3-ε} one has f_4 ≪ε^-1/4f_2 with implied constant being absolute. We also show that the set {n^3: N≤ n≤ N+(0.5N)^1/2} is a Sidon set.
We prove that the class of Arbault sets coincides with the class of sets of resolution.
Victor Antonovich Sadovnichii合作论文数3Valerii Vasil'evich Kozlov合作论文数2Юрий Вячеславович Малыхин合作论文数2андрей александрович гончар合作论文数2Mikhail K. Potapov合作论文数2Yuri V Malykhin合作论文数2s v bochkarev合作论文数1Yurii Sergeevich Osipov合作论文数1Sergei Mikhailovich Nikol'skii合作论文数1Lev Dmitrievich Kudryavtsev合作论文数1Anatoliy Georgievich Vitushkin合作论文数1Николай Николаевич Андреев合作论文数1sergeĭ mikhaĭlovich nikolʹskiĭ合作论文数1Константин Сергеевич Рютин合作论文数1Юрий Николаевич Субботин合作论文数1Валерий Васильевич Козлов合作论文数1Petr Lavrent'evich Ul'yanov合作论文数1Виктор Матвеевич Бухштабер合作论文数1б и голубов合作论文数1сергей петрович новиков合作论文数1M. R. Gabdullin合作论文数1Sergei M Nikol'Skii合作论文数1Mikhail Ivanovich Dyachenko合作论文数1
Victor Matveevich Buchstaber合作论文数Department of Mathematics and Mechanics, Moscow State University1Sergei Aleksandrovich Telyakovskii合作论文数1
Boris Golubov合作论文数1Yu. V. Malykhin合作论文数1N. I. Chernykh合作论文数1Oleg V Besov合作论文数1
