Abstract
Filters for functions have been studied in Lessons 1, 2, 24, and 25. We are going to recast and complete this analysis in the light of what we now know about distributions. We will see that the basic tools developed so far, namely, convolution and the Fourier transform, play an essential role in the study of generalized filters, in the same way they did in the study of filters for functions.
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© 1999 Springer Science+Business Media New York
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Gasquet, C., Witomski, P. (1999). Filters, Differential Equations, and Distributions. In: Fourier Analysis and Applications. Texts in Applied Mathematics, vol 30. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1598-1_34
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DOI: https://doi.org/10.1007/978-1-4612-1598-1_34
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7211-3
Online ISBN: 978-1-4612-1598-1
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