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This article is cited in 4 scientific papers (total in 4 papers)
Asymptotic expansions of generalized functions
Yu. A. Brychkov Computer Center, Academy of Sciences of the USSR
Abstract:
The definition is formulated of the asymptotic expansion of a generalized function depending on a parameter. A number of theorems are proved about the properties of asymptotic expansions and operations on them, in particular, theorems on differentiation and integration. For generalized functions of the form $f(x)e^{ixt}$, $f(x)\in S'$, $t\to\pm\infty$ the relation is investigated between the singularity carrier $f$ and the carrier of coefficient functionals.
Received: 12.07.1971
Citation:
Yu. A. Brychkov, “Asymptotic expansions of generalized functions”, Mat. Zametki, 12:2 (1972), 131–138; Math. Notes, 12:2 (1972), 513–517
Linking options:
https://www.mathnet.ru/eng/mzm9859 https://www.mathnet.ru/eng/mzm/v12/i2/p131
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Abstract page: | 174 | Full-text PDF : | 78 | First page: | 1 |
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