On the Order of Fourier Coefficients of a Lacunary Fourier Series


Abstract

Let ∑ (ank con nkx + bnk sin nkx) be the Fourier series of a 2π-periodic function f ∈ L [—π, π] with an infinity of gaps (nk, nk+1) where {nk} (k∈ N ) is a strictly increasing sequence of natural numbers.

Subject Discipline

Mathematical Sciences

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