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Fourier series, measures and divided power series in the theory of function fields

✍ Scribed by David Goss

Publisher
Springer
Year
1989
Tongue
English
Weight
774 KB
Volume
2
Category
Article
ISSN
0920-3036

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If the coefficients in a Fourier cosine series, f ðxÞ % f N ¼ P 1 n¼0 a n cosðnxÞ, decrease as a small negative power of n, then one may need millions of terms to sum the series to high accuracy. We show that if the a n are known analytically and have a power series in 1=n, then it is straightforwar