Oshima, Toshio Poisson transformations on affine symmetric spaces. (English) Zbl 0485.22011 Proc. Japan Acad., Ser. A 55, 323-327 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents MSC: 22E30 Analysis on real and complex Lie groups 22E46 Semisimple Lie groups and their representations 53C35 Differential geometry of symmetric spaces Keywords:affine symmetric space; Poisson integral; Sato’s hyperfunction; eigenfunction; boundary value; semisimple Lie group PDFBibTeX XMLCite \textit{T. Oshima}, Proc. Japan Acad., Ser. A 55, 323--327 (1979; Zbl 0485.22011) Full Text: DOI References: [1] M. Berger: Les espaces symetriques non compacts. Ann. Sci. Ec. Norm. Sup., 74, 85-177 (1957). · Zbl 0093.35602 [2] S. Helgason: A duality for symmetric spaces with applications to group representations. Adv. Math., 5, 1-154 (1970). · Zbl 0209.25403 [3] M. Kashiwara, A. Kowata, K. Minemura, K. Okamoto, T. Oshima, and M. Tanaka: Eigenf unctions of invariant differential operators on a symmetric space. Ann. of Math., 107, 1-39 (1978). · Zbl 0377.43012 [4] T. Matsuki: The orbits of affine symmetric spaces under the action of minimal parabolic subgroups. J. Math. Soc. Japan, 31, 331-357 (1979). · Zbl 0396.53025 [5] T. Oshima and J. Sekiguchi: Boundary value problem on symmetric homogeneous spaces. Proc. Japan Acad., 53A, 81-83 (1977). · Zbl 0452.43013 [6] T. Oshima and J. Sekiguchi: Eigenspaces of invariant differential operators on an affine symmetric space (preprint). · Zbl 0434.58020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.