Pilipović, S.; Stojanović, M.; Nikolić-Despotović, D. The quasiasymptotic expansion at zero and generalized Watson lemma for Colombeau generalized functions. (English) Zbl 1061.41024 Publ. Math. Debr. 57, No. 1-2, 11-23 (2000). Quasiasymptotic expansions at zero in the Colombeau algebra of generalized functions and its coherence with this notion for Schwartz distributions is given. A version of Watson’s lemma related to the expansion of the Laplace transform of an appropriate generalized Colombeau function is proved. In particular, the asymptotic expansion of \(\delta^2\) and the expansion of its Laplace transform is given. Reviewer: N. M. Temme (Amsterdam) Cited in 1 Document MSC: 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) 44A10 Laplace transform Keywords:quasiasymptotic expansion at zero; Laplace transformation in Colombeau spaces; Abelian type results for Laplace transforms PDFBibTeX XMLCite \textit{S. Pilipović} et al., Publ. Math. Debr. 57, No. 1--2, 11--23 (2000; Zbl 1061.41024)