Title
Asymptotic expansion of thick distributions
Document Type
Article
Publication Date
1-1-2015
Abstract
We give a theory of asymptotic expansions of thick distributions of rapid decay at infinity. We show that the moment asymptotic expansion of standard distributions of rapid decay follows by projection of our result.We also study in which spaces of thick test functions the asymptotic Taylor approximation is valid. We employ our formulas to obtain the asymptotic expansion of several multidimensional integrals that are divergent but are regularized by using the Hadamard method.
Publication Source (Journal or Book title)
Asymptotic Analysis
First Page
1
Last Page
19
Recommended Citation
Yang, Y., & Estrada, R. (2015). Asymptotic expansion of thick distributions. Asymptotic Analysis, 95 (1-2), 1-19. https://doi.org/10.3233/ASY-151310
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