Abstract
In this chapter we look at some of the eigenfunction expansions in terms of Fourier series. We develop the Fourier transform and use it to solve the heat equation again. We also give a brief treatment of the discrete Fourier transform (DFT) and the fast Fourier transform (FFT).
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© 1998 Springer Science+Business Media New York
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Cooper, J. (1998). Fourier Series and Fourier Transform. In: Introduction to Partial Differential Equations with MATLAB. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1754-1_6
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DOI: https://doi.org/10.1007/978-1-4612-1754-1_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7266-3
Online ISBN: 978-1-4612-1754-1
eBook Packages: Springer Book Archive