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, 1977 In the subsequent sections use will be made of the expansion of given functions in Fourier series and it will be more convenient to represent them in complex form; some remarks will now be made about this.
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Improved cellulose X-ray diffraction analysis using Fourier series modeling
Cellulose, 2020Wenqing Yao +2 more
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Periodic Hyperfunctions and Fourier Series Fourier Series
1992We have now almost finished the general discussion of hyperfunctions. From now on we shall attempt to apply this general theory to various cases. In this chapter we study periodic hyperfunctions. Then we shall see that the theory of Fourier series is naturally absorbed into the theory of Fourier transformations.
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Forecasting tourism demand using fractional grey prediction models with Fourier series
Annals of Operations Research, 2020Yi-Chung Hu
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2014
Fourier Series are a powerful tool in Applied Mathematics; indeed, their importance is twofold since Fourier Series are used to represent both periodic real functions as well as solutions admitted by linear partial differential equations with assigned initial and boundary conditions.
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Fourier Series are a powerful tool in Applied Mathematics; indeed, their importance is twofold since Fourier Series are used to represent both periodic real functions as well as solutions admitted by linear partial differential equations with assigned initial and boundary conditions.
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Intrinsic chirp component decomposition by using Fourier Series representation
Signal Processing, 2017Shiqian Chen +4 more
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Introduction to Fourier Series
2013We start the book by considering the series \(\mathop {\Sigma }\nolimits _{n=1}^\infty {\mathrm{sin}(n x) \over n},\) a nice example of a Fourier series. This series converges for all real numbers x, but the issue of convergence is delicate. We introduce summation by parts as a tool for handling some conditionally convergent series of this sort.
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