## Abstract We present the Taylor asymptotic expansion of a perturbed distribution of the form equation image is a smooth function defined in ℝ^__n__^. First we present the one‐dimensional theory to illustrate the underlying concepts and then we discuss the multi‐dimensional case. We find that va
Taylor Expansion for Generalized Functions
✍ Scribed by B. Stanković
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 131 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
A necessary and sufficient condition is given that the asymptotic Taylor expan-Ž . sion for a distribution for an ultradistribution is the Taylor series convergent in Ž . the space of distributions of ultradistributions .
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