@article{oai:nagasaki-u.repo.nii.ac.jp:00007620, author = {Adachi, Kenzo and Fukushima, Yukio and Watanabe, Kiyoshi}, journal = {長崎大学教育学部自然科学研究報告, Science bulletin of the Faculty of Education, Nagasaki University}, month = {Feb}, note = {Let D be a domain over a product space of a Stein manifold S and Grassmann manifolds G1 (i=1,2,...,N) and D be the envelope of holomorphy of D. In this paper we shall show that each real-valued pluriharmonic function on D is the real part of a holomorphic function on D if and only if H1 (D, Z)=0, provided that D is not holomorphically equivalent to the set E×V1×...×Vi-1×G1×Vi+1×...×VN (i=1,...,N), where E is an open set of S and Vi is an open set of Gi., 長崎大学教育学部自然科学研究報告. vol.37, p.23-29; 1986}, pages = {23--29}, title = {Pluriharmonic Functions on a Domain over a Product Space}, volume = {37}, year = {1986} }