Title of article
Approximately additive Schwartz distributions
Author/Authors
Jaeyoung Chung، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
9
From page
1449
To page
1457
Abstract
Generalizing the Hyers–Ulam–Rassias stability theorem [Th.M. Rassias, On the stability of linear mapping
in Banach spaces, Proc. Amer. Math. Soc. 72 (1978) 297–300] to the space of Schwartz distributions,
we introduce a concept of approximately additive Schwartz distributions and prove that every approximately
additive distribution can be approximated by linear functions.
© 2006 Elsevier Inc. All rights reserved.
Keywords
distributions , Gauss transforms , Heat kernel , stability , Cauchy equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
935087
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