Convolution equations on spaces of quasi-nuclear functions of a given type and order
This nice paper is a kind of continuation of the author's paper [Port.\ Math.\ (N.\,S.) 65, No.\,2, 285--309 (2008; Zbl 1152.46033)]. The author proves existence and approximation results for convolution equations on the spaces of \((s;(r,q))\)-quasi-nuclear mappings of a given type and order on a Banach space \(E\). The results of the paper generalize previous works of \textit{C.\,Gupta, B.\,Malgrange, M.\,C.\thinspace Matos} and \textit{A.\,Martineau} [Bull.\ Soc.\ Math.\ Fr.\ 95, 109--154 (1967; Zbl 0167.44202)] related to partial differential equations with constant coefficients for entire functions.
scientific article; zbMATH DE number 5798748