Asymptotic expansion of thick distributions

Authors

Yunyun Yang, Louisiana State University
Ricardo Estrada, Louisiana State University

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