Title

Asymptotic Separation of Variables

Document Type

Article

Publication Date

9-1-1993

Abstract

We study generalized functions f{hook}(x) that admit the asymptotic separation of variables f{hook}(λx) ∼ ρ1(λ)h1(x) + ρ2(λ)h2(x) + ρ3(λ)h3(x) + ···, as λ → ∞, where {ρn(λ)} is an asymptotic sequence. Among other results, we show that when the asymptotic separation of variables holds, the terms have to be homogeneous and associated homogeneous generalized functions. The asymptotic expansion of ρ(λx), as λ → ∞, where ρ is a regularly varying function, is also considered. © 1993 Academic Press. All rights reserved.

Publication Source (Journal or Book title)

Journal of Mathematical Analysis and Applications

First Page

130

Last Page

142

This document is currently not available here.

Share

COinS