Fourier series
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1—10 of 56 matching pages
1: 1.8 Fourier Series
2: 28.14 Fourier Series
3: 27.17 Other Applications
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►Reed et al. (1990, pp. 458–470) describes a number-theoretic approach to Fourier analysis (called the arithmetic Fourier transform) that uses the Möbius inversion (27.5.7) to increase efficiency in computing coefficients of Fourier series.
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4: Peter L. Walker
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►Walker’s books are An Introduction to Complex Analysis, published by Hilger in 1974, The Theory of Fourier Series and Integrals, published by Wiley in 1986, Elliptic Functions. A Constructive Approach, published by Wiley in 1996, and Examples and Theorems in Analysis, published by Springer in 2004.
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5: 6.16 Mathematical Applications
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►Consider the Fourier series
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►Compare Figure 6.16.1.
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►It occurs with Fourier-series expansions of all piecewise continuous functions.
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6: 1.15 Summability Methods
7: 29.20 Methods of Computation
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►The Fourier series may be summed using Clenshaw’s algorithm; see §3.11(ii).
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►The corresponding eigenvectors yield the coefficients in the finite Fourier series for Lamé polynomials.
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8: 21.10 Methods of Computation
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►In addition to evaluating the Fourier series, the main problem here is to compute a Riemann matrix originating from a Riemann surface.
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9: 27.10 Periodic Number-Theoretic Functions
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►Every function periodic (mod ) can be expressed as a finite Fourier
series of the form
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►is a periodic function of and has the finite Fourier-series expansion
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10: Guide to Searching the DLMF
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Table 1: Query Examples
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| Query | Matching records contain |
|---|---|
"Fourier transform" and series |
both the phrase “Fourier transform” and the word “series”. |
Fourier or series |
at least one of the words “Fourier” or “series”. |
Fourier (transform or series) |
at least one of “Fourier transform” or “Fourier series”. |
| … | |
