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Fourier Analysis and Applications

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Cover of 'Fourier Analysis and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Signals and Systems
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    Chapter 2 Filters and Transfer Functions
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    Chapter 3 Trigonometric Signals
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    Chapter 4 Periodic Signals and Fourier Series
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    Chapter 5 Pointwise Representation
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    Chapter 6 Expanding a Function in an Orthogonal Basis
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    Chapter 7 Frequencies, Spectra, and Scales
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    Chapter 8 The Discrete Fourier Transform
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    Chapter 9 A Famous, Lightning-Fast Algorithm
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    Chapter 10 Using the FFT for Numerical Computations
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    Chapter 11 From Riemann to Lebesgue
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    Chapter 12 Measuring Sets
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    Chapter 13 Integrating Measurable Functions
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    Chapter 14 Integral Calculus
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    Chapter 15 Function Spaces
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    Chapter 16 Hilbert Spaces
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    Chapter 17 The Fourier Transform of Integrable Functions
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    Chapter 18 The Inverse Fourier Transform
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    Chapter 19 The Space ℒ (ℝ)
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    Chapter 20 The Convolution of Functions
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    Chapter 21 Convolution, Derivation, and Regularization
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    Chapter 22 The Fourier Transform on L 2 (ℝ)
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    Chapter 23 Convolution and the Fourier Transform
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    Chapter 24 Applications to Analog Filters Governed by a Differential Equation
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    Chapter 25 Examples of Analog Filters
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    Chapter 26 Where Functions Prove to Be Inadequate
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    Chapter 27 What Is a Distribution?
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    Chapter 28 Elementary Operations on Distributions
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    Chapter 29 Convergence of a Sequence of Distributions
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    Chapter 30 Primitives of a Distribution
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    Chapter 31 The Fourier Transform of Distributions
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    Chapter 32 Convolution of Distributions
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    Chapter 33 Convolution and the Fourier Transform of Distributions
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    Chapter 34 Filters, Differential Equations, and Distributions
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    Chapter 35 Realizable Filters and Differential Equations
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    Chapter 36 Periodic Distributions
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    Chapter 37 Sampling Signals and Poisson’s Formula
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    Chapter 38 The Sampling Theorem and Shannon’s Formula
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    Chapter 39 Discrete Filters and Convolution
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    Chapter 40 The z -Transform and Discrete Filters
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    Chapter 41 The Windowed Fourier Transform
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    Chapter 42 Wavelet Analysis
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Title
Fourier Analysis and Applications
Published by
Springer New York, December 2013
DOI 10.1007/978-1-4612-1598-1
ISBNs
978-1-4612-7211-3, 978-1-4612-1598-1
Authors

Gasquet, Claude, Witomski, Patrick

Twitter Demographics

The data shown below were collected from the profile of 1 tweeter who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Belgium 1 50%
Unknown 1 50%

Demographic breakdown

Readers by professional status Count As %
Student > Bachelor 5 250%
Student > Ph. D. Student 4 200%
Researcher 2 100%
Student > Doctoral Student 2 100%
Professor > Associate Professor 2 100%
Other 4 200%
Readers by discipline Count As %
Mathematics 6 300%
Engineering 5 250%
Earth and Planetary Sciences 2 100%
Unspecified 2 100%
Physics and Astronomy 2 100%
Other 2 100%