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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… Expand
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Highly Cited
2004
Highly Cited
2004
Prolegomena. 1. L p Spaces and Interpolation. 2. Maximal Functions, Fourier Transform, and Distributions. 3. Fourier Analysis on… Expand
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Highly Cited
2003
Highly Cited
2003
Foreword vii Preface xi Chapter 1. The Genesis of Fourier Analysis 1 Chapter 2. Basic Properties of Fourier Series 29 Chapter 3… Expand
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Highly Cited
2001
Highly Cited
2001
0. Inner Product Spaces. 1. Fourier Series. 2. The Fourier Transform. 3. Discrete Fourier Analysis. 4. Wavelet Analysis. 5… Expand
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Highly Cited
1996
Highly Cited
1996
The recent reformulation of the coupled-wave method by Lalanne and Morris [ J. Opt. Soc. Am. A13, 779 ( 1996)] and by Granet and… Expand
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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… Expand
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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… Expand
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Highly Cited
1976
Highly Cited
1976
Fitting Sinusoids. The Search for Periodicity. Harmonic Analysis. The Fast Fourier Transform. Examples of Harmonic Analysis… Expand
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Highly Cited
1971
Highly Cited
1971
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role… Expand
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Highly Cited
1965
Highly Cited
1965
The demand for rapid procedures to solve Poisson''s equation has lead to the development of a direct method of solution involving… Expand
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Highly Cited
1962
Highly Cited
1962
In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit… Expand
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