M. G. Grigoryan
Abstract
In this work, a universal trigonometric series is constructed such that, after multiplying the terms of this series by some sequence of signs $$\{\delta_{k}=\pm 1\}_{k=0}^{\infty}$$ , it can be transformed into the Fourier series of some integrable function.
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In this work, a universal trigonometric series is constructed such that, after multiplying the terms of this series by some sequence of signs $$\{\delta_{k}=\pm 1\}_{k=0}^{\infty}$$ , it can be transformed into the Fourier series of some integrable function.
Key concepts: Mathematics, Fourier series, Trigonometric series, Series (stratigraphy), Locally integrable function, Function series, Sequence (biology), Conjugate Fourier series