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Tempered Distributions

Adina Chirilă (), Marin Marin and Andreas Öchsner
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Adina Chirilă: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Marin Marin: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Andreas Öchsner: Esslingen University of Applied Sciences, Faculty of Mechanical Engineering

Chapter Chapter 7 in Distribution Theory Applied to Differential Equations, 2021, pp 133-165 from Springer

Abstract: Abstract First of all, we introduce the Schwartz space of infinitely differentiable functions that are rapidly decreasing at infinity. Then we define tempered distributions. We consider the Fourier transform and its properties. Finally, the Paley-Wiener-Schwartz theorem is discussed.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-67159-4_7

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DOI: 10.1007/978-3-030-67159-4_7

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