Fourier analysis

Known as: Elliptic fourier analysis, Fourier synthesis, Relations between Fourier Transform, Fourier Series, DTFT and DFT 
In mathematics, Fourier analysis (English pronunciation: /ˈfɔərieɪ/) is the study of the way general functions may be represented or approximated by… (More)
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Topic mentions per year

1936-2019
010020019362018

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Highly Cited
2012
Highly Cited
2012
[2] The notation L(G) is meant to suggest the presence of the inner product on this space of functions. On a general space X with… (More)
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Highly Cited
2009
Highly Cited
2009
The advent of the fast Fourier transform method has greatly extended our ability to implement Fourier methods on digital… (More)
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Highly Cited
2005
Highly Cited
2005
Various new nonembeddability results (mainly into L/sub 1/) are proved via Fourier analysis. In particular, it is shown that the… (More)
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Highly Cited
2000
Highly Cited
2000
Many fabric defects are very small and undistinguishable, which makes them very difficult to detect by only monitoring the… (More)
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Highly Cited
1997
Highly Cited
1997
MOTIVATION The major signal in coding regions of genomic sequences is a three-base periodicity. Our aim is to use Fourier… (More)
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Highly Cited
1978
Highly Cited
1978
A discrete time series has associated with it an amplitude spectrum which is a periodic function of frequency. This paper… (More)
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Highly Cited
1977
Highly Cited
1977
Two distinct methods for synthesizing a signal from its short-time Fourier transform have previously been proposed. We call these… (More)
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Highly Cited
1972
Highly Cited
1972
A method for the analysis and synthesis of closed curves in the plane is developed using the Fourier descriptors FD's of Cosgriff… (More)
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Highly Cited
1968
Highly Cited
1968
1. The contrast thresholds of a variety of grating patterns have been measured over a wide range of spatial frequencies.2… (More)
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Highly Cited
1965
Highly Cited
1965
The demand for rapid procedures to solve Poisson's equation has led to the development of a direct method of solution involving… (More)
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