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- W3007449184 abstract "The last chapter of the book is concerned with the Fourier series, i.e., series of the form: $$displaystyle f(x)=frac {a_0}{2}+sum _{n=1}^{infty }[a_ncos (nomega x)+b_nsin (nomega x)], $$where ω is a positive parameter, and an and bn bear the name of the Fourier coefficients. The presence of 1∕2 in the first term has no meaning and is simply a result of a convention. If this sum is convergent, the so defined function f(x) is clearly periodic, with the period equal to T = 2π∕ω." @default.
- W3007449184 created "2020-03-06" @default.
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- W3007449184 date "2020-01-01" @default.
- W3007449184 modified "2023-10-17" @default.
- W3007449184 title "Studying Fourier Series" @default.
- W3007449184 doi "https://doi.org/10.1007/978-3-030-38596-5_10" @default.
- W3007449184 hasPublicationYear "2020" @default.
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