Abstract
Note. In this chapter, unless otherwise indicated, all functions are complex-valued functions of a real variable. Given integrable functions of t, f, and k the function
dt for some set E is called and INTEGRAL TRANSFORM of f with KERNEL k ( t, w) (of the transform). By “transforming” both side of certain equations, we can sometimes convert them into simpler ones—differential equations to algebraic equations, for examples.
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© 2000 Springer Science+Business Media New York
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Bachman, G., Narici, L., Beckenstein, E. (2000). The Fourier Transform. In: Fourier and Wavelet Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0505-0_5
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DOI: https://doi.org/10.1007/978-1-4612-0505-0_5
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