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Two spaces conditions for integrability of the Fourier transform

✍ Scribed by Liflyand, Elijah; Ournycheva, Elena

Book ID
111869586
Publisher
Oldenbourg Wissenschaftsverlag
Year
2008
Tongue
English
Weight
152 KB
Volume
28
Category
Article
ISSN
0174-4747

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✦ Synopsis

Tests for the integrability of the Fourier transform of a function are given in terms of belonging of the function simultaneously to two spaces of smooth functions. These are, in a sense, generalizations of Zygmund's test for the absolute convergence of Fourier series.

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✍ Bengt Eliasson πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 308 KB

In order to facilitate numerical simulations of plasma phenomena where kinetic processes are important, we have studied the technique of Fourier transforming the Vlasov equation analytically in velocity space, and solving the resulting equation numerically. Particular attention has been paid to the