Cheng, Lin Zhi; Fisher, B. Several products of distributions on \(R^ m\). (English) Zbl 0693.46048 Proc. R. Soc. Lond., Ser. A 426, No. 1871, 425-439 (1989). Summary: The method of the sequential completion has been used efficiently to define products of distributions. Some results for products of distributions on \(R^ 1\) have been given by J. Mikusinski, B. Fisher and Cheng Lin Zhi et al. The main aim of this paper is to extend the method to the case for several variables. A number of products such as \(\delta^{(r)}\circ \delta^{(s)}\), \(x^ r_+\circ \delta^{(s)}\) and \(x^{-r}\circ \delta^{(s)}\), etc., are considered. Cited in 9 Documents MSC: 46F10 Operations with distributions and generalized functions Keywords:sequential completion; products of distributions PDFBibTeX XMLCite \textit{L. Z. Cheng} and \textit{B. Fisher}, Proc. R. Soc. Lond., Ser. A 426, No. 1871, 425--439 (1989; Zbl 0693.46048) Full Text: DOI