Johnson, Kenneth D. Remarks on a theorem of Koranyi and Malliavin on the Siegel upper half plane of rank two. (English) Zbl 0395.22012 Proc. Am. Math. Soc. 67 (1977), 351-356 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 Documents MSC: 22E30 Analysis on real and complex Lie groups 32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) 43A85 Harmonic analysis on homogeneous spaces 53C35 Differential geometry of symmetric spaces Keywords:Siegel Upper Half Plane; Diffusion Processes; Poisson Integral; Shilov Boundary; Furstenberg Boundary Citations:Zbl 0318.60066 PDFBibTeX XMLCite \textit{K. D. Johnson}, Proc. Am. Math. Soc. 67, 351--356 (1978; Zbl 0395.22012) Full Text: DOI References: [1] Harry Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math. (2) 77 (1963), 335 – 386. · Zbl 0192.12704 · doi:10.2307/1970220 [2] L. K. Hua, Harmonic analysis of functions of several complex variables in the classical domains, Translated from the Russian by Leo Ebner and Adam Korányi, American Mathematical Society, Providence, R.I., 1963. [3] S. Helgason and A. Korányi, A Fatou-type theorem for harmonic functions on symmetric spaces, Bull. Amer. Math. Soc. 74 (1968), 258 – 263. · Zbl 0153.42902 [4] Kenneth D. Johnson, Differential equations and the Bergman-Šilov boundary on the Siegel upper half plane, Ark. Mat. 16 (1978), no. 1, 95 – 108. · Zbl 0395.22013 · doi:10.1007/BF02385985 [5] A. Korányi and P. Malliavin, Poisson formula and compound diffusion associated to an overdetermined elliptic system on the Siegel halfplane of rank two, Acta Math. 134 (1975), no. 3-4, 185 – 209. · Zbl 0318.60066 · doi:10.1007/BF02392101 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.