On absolute convergence of Fourier series of some almost periodic functions
نویسندگان
چکیده
منابع مشابه
On the Absolute Convergence of Small Gaps Fourier Series of Functions
Let f be a 2π periodic function in L[0, 2π] and ∑∞ k=−∞ f̂(nk)e inkx be its Fourier series with ‘small’ gaps nk+1 − nk ≥ q ≥ 1. Here we have obtained sufficiency conditions for the absolute convergence of such series if f is of ∧ BV (p) locally. We have also obtained a beautiful interconnection between lacunary and non-lacunary Fourier series.
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1959
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-6-2-145-156