On the mathematical works of Pierre Dolbeault (Q737199)

The paper under review summarizes the scientific life of the late Pierre Dolbeault, one of the leading figures of the 20th century geometry. It starts with a brief biography and then it presents the main mathematical contributions of Dolbeault, starting from the now classical results of his thesis written under the supervision of Henri Cartan, namely the \textit{Dolbeault-Grothendieck lemma} and the \textit{Dolbeault isomorphism}, together with the most famous tool he used to prove the latter and which is now named after him i.e. the \textit{Dolbeault cohomology}. Then, the author passes to analyse Dolbeault's results in the residue theory, which is a life-long interest of him, from its thesis to the 2009 paper [``About the characterization of some residue currents'', in: Complex analysis and digital geometry. Proceedings from the Kiselmanfest, Uppsala, Sweden, May 2006. Uppsala: Univ. Uppsala. 147--157 (2009; Zbl 1201.32006)]. The next arguments are the study of boundary problems for complex manifolds, started in the seventies, and the quaternionic analysis, studied mostly after 2000. The paper is highly enjoyable to read and gives a quick introduction of the above arguments that can be read without difficulty by the non-expert mathematician.