Integral Transforms

Svetlin G. Georgiev ()
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Svetlin G. Georgiev: University of Sofia “St. Kliment Ohridski”, Department of Differential Equations Faculty of Mathematics and Informatics

Chapter Chapter 8 in Theory of Distributions, 2021, pp 205-218 from Springer

Abstract: Abstract In this chapter we introduce the Fourier transform for S $$\mathcal {S}$$ functions and the Fourier transform for tempered distributions. They are deducted some of their basic properties. It is investigated the Fourier transform of convolution of tempered distributions. It is defined the Laplace transform for distributions and they are deduct some of its properties.

Keywords: Fourier transform; Laplace transform (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-81265-2_8

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DOI: 10.1007/978-3-030-81265-2_8

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