Tran Quyet Thang Extension problem for the generalized biregular functions in Clifford analysis. (English) Zbl 0786.30030 Adv. Math. Sci. Appl. 2, No. 2, 245-251 (1993). Let \(A\) be the Clifford algebra over \(\mathbb{R}^ m\) and \(f: G\to A\) be a generalized biregular function on the domain \(G\subset \mathbb{R}^{n+k}\), \(n,k<m\). The author studies an extension phenomenon when every generalized biregular function on an open neighbourhood of \(\partial G\) may be extended continuously in the whole of \(G\) as a generalized biregular function. In the case when \(G= G_ 1\times G_ 2\) and \(G_ 1\) and \(G_ 2\) are domains in \(\mathbb{R}^ n\) and \(\mathbb{R}^ k\) respectively, \(n,k<m\), he proves an anlogue of the Hartogs extension theorem from the theory of holomorphic functions of several complex variables. Reviewer: M.Marinov (Sofia) MSC: 30G35 Functions of hypercomplex variables and generalized variables 32S30 Deformations of complex singularities; vanishing cycles Keywords:biregular functions in Clifford analysis; Clifford algebra PDFBibTeX XMLCite \textit{Tran Quyet Thang}, Adv. Math. Sci. Appl. 2, No. 2, 245--251 (1993; Zbl 0786.30030)