Sato, Mikio; Shintani, Takuro; Muro, Masakazu Theory of prehomogeneous vector spaces. (Algebraic part). - The English translation of Sato’s lecture from Shintani’s note. (English) Zbl 0715.22014 Nagoya Math. J. 120, 1-34 (1990). See the preview in Zbl 0703.22011. Cited in 1 ReviewCited in 40 Documents MSC: 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods 14M17 Homogeneous spaces and generalizations 58J15 Relations of PDEs on manifolds with hyperfunctions 43A85 Harmonic analysis on homogeneous spaces 32A45 Hyperfunctions 32M10 Homogeneous complex manifolds Keywords:b-functions; prehomogeneous vector spaces PDF BibTeX XML Cite \textit{M. Sato} et al., Nagoya Math. J. 120, 1--34 (1990; Zbl 0715.22014) Full Text: DOI References: [1] DOI: 10.1007/BF01391666 · Zbl 0456.58034 · doi:10.1007/BF01391666 [2] Nagoya Math. J. 65 pp 1– (1977) · Zbl 0321.14030 · doi:10.1017/S0027763000017633 [3] Sugaku no Ayumi 15-1 pp 85– (1970) [4] DOI: 10.2307/1970844 · Zbl 0309.10014 · doi:10.2307/1970844 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.