Abstract
In this chapter we study the Fourier transform and investigate its properties for functions f(t) depending on a single variable t which will be interpreted as time. The Fourier transform (or Fourier image) \(\tilde f\left( \omega \right)\)of f(t) is defined by
whenever the integral on the right-hand side exists.
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© 1997 Birkhäuser Boston
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Saichev, A.I., Woyczyński, W.A. (1997). Fourier Transform. In: Distributions in the Physical and Engineering Sciences. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4158-4_3
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DOI: https://doi.org/10.1007/978-1-4612-4158-4_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8679-0
Online ISBN: 978-1-4612-4158-4
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