Communications of the
Korean Mathematical Society
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ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2010; 25(3): 391-404
Printed September 1, 2010
https://doi.org/10.4134/CKMS.2010.25.3.391
Copyright © The Korean Mathematical Society.
Characterizations of rapidly decreasing generalized functions
Chikh Bouzar and Tayeb Saidi
Oran-Essenia University, University of Bechar
The well-known characterizations of the Schwartz space of rapidly decreasing functions is extended to new algebras of rapidly decreasing generalized functions.
Keywords: Schwartz space, rapidly decreasing generalized functions, Colombeau algebra, Fourier transform
MSC numbers: 46F30, 46F05, 42B10
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