Machida, Yoshinori Twistor integral representations of solutions of the sub-Laplacian. (English) Zbl 0979.53055 Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1-10, 1999. Sofia: Coral Press Scientific Publishing. 159-162 (2000). Summary: The twistor integral representations of solutions of the Laplacian on the complex space are well-known. The purpose of this article is to generalize the results above to that of the sub-Laplacian on the odd-dimensional complex space \(\mathbb{C}^{2n-1}\) with the standard contact structure.For the entire collection see [Zbl 0940.00039]. MSC: 53C28 Twistor methods in differential geometry 58E20 Harmonic maps, etc. 53D10 Contact manifolds (general theory) Keywords:Laplacian; sub-Laplacian; contact structure PDF BibTeX XML Cite \textit{Y. Machida}, in: Proceedings of the international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, September 1--10, 1999. Sofia: Coral Press Scientific Publishing. 159--162 (2000; Zbl 0979.53055)