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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… 
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Papers overview

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Highly Cited
2003
Highly Cited
2003
Prolegomena. 1. L p Spaces and Interpolation. 2. Maximal Functions, Fourier Transform, and Distributions. 3. Fourier Analysis on… 
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… 
Highly Cited
1992
Highly Cited
1992
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on… 
Highly Cited
1978
Highly Cited
1978
  • D. Slepian
  • The Bell System Technical Journal
  • 1978
  • Corpus ID: 37284173
A discrete time series has associated with it an amplitude spectrum which is a periodic function of frequency. This paper… 
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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… 
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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… 
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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… 
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… 
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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… 
Highly Cited
1958
Highly Cited
1958
1. Introduction 2. The theory of generalised functions and their Fourier transforms 3. Definitions, properties and Fourier…