Fisher, B.; Takači, Arpad On some neutrix products of distributions. (English) Zbl 0734.46028 Publ. Inst. Math., Nouv. Sér. 46(60), 132-140 (1989). A more general product of distributions, called neutrix product of distributions, has been introduced by the first author [Math. Nachr. 108, 117-127 (1982; Zbl 0522.46025)]. This paper has analysed and explicitly calculated several neutrix products involving slowly varying functions. More specifically, neutrix product of the distributions \(x^{\lambda}_+L(x)\) and \(x^{\mu}\) or \(\delta^{(m)}\) has been analysed and explicitly calculated where \(\lambda\),\(\mu\not\in Z\), \(m\in N_ 0\) and L is a slowly varying function at both zero and infinity [E. Seneta, Regularly varying functions, Lect. Notes Math. 508 (1976; Zbl 0324.26002)]. Reviewer: R.K.Bose (Banasthali Vidyapith) MSC: 46F10 Operations with distributions and generalized functions Keywords:neutrix product of distributions; slowly varying functions Citations:Zbl 0522.46025; Zbl 0324.26002 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Takači}, Publ. Inst. Math., Nouv. Sér. 46(60), 132--140 (1989; Zbl 0734.46028) Full Text: EuDML