| 41. | In other words there is a Fourier series for " f " of the form
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| 42. | By strengthening the continuity assumption slightly one can easily show that the Fourier series converges everywhere.
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| 43. | Since floor and ceiling are not periodic, they do not have uniformly convergent Fourier series expansions.
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| 44. | The Fourier series exists and converges in similar ways to the [ ", ] case.
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| 45. | The spherical harmonic functions form a complete orthonormal set of functions in the sense of Fourier series.
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| 46. | Then the transform of the x [ n ] sequence has the form of a Fourier series.
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| 47. | After Salem's death his wife established an international prize for outstanding contributions to Fourier series.
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| 48. | In particular, if a function is continuously differentiable then its Fourier series converges to it everywhere.
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| 49. | FAST first represents conditional variances via coefficients from the multiple Fourier series expansion of the output function.
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| 50. | In 2011 she won the Salem Prize which is awarded for work associated with the Fourier Series.
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