Keywords
- Holomorphic Function
- Hardy Space
- Cohomology Class
- Inversion Formula
- Integral Geometry
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References
[FG] Faraut J., Gindikin S., Psedo-Hermitian Symmetric spaces of tube type, Topics in Geometry: In Memory of Joseph D’Atri (Gindikin S., ed.), Birkhauser, 1996, pp. 123–154.
[GG] Gelfand I, Gindikin S., Nonlocal inversion formulas in real integral geometry, Funct. Anal. Prilozh. 11 (1977), no. 3, 12–19 (Russian); Engl. transl.: Funct. Anal. Appl. 11 (1977), 173–179.
[GGG] Gelfand I., Gindikin, S., Graev M., Integral geometry in affine and projective spaces, Itogi nauki i techniki 16 (1980), VINITI, pages 55–224 (Russian); Engl. transl.: J.Sov. Math. 18 (1980), 39–67.
[GGS] Gelfand I., Graev M., Shapiro Z., Integral geometry on k-dimensional planes, Funct. Anal. Prilozh. 1 (1967), no. 1, 15–31 (Russian); Engl. transl.: Funct. Anal. Appl. 1 (1967), 14–27.
[GGV] Gelfand, I., Graev M., Vilenkin N., Integral geometry and representation theory,, Generalized Functions, vol. 5, Fizmatgiz, 1962 (Russian); Engl. transl.: Academic Press, 1966.
[G1] Gindikin S., The Radon transform from cohomological point of view, 75 years of Radon transform (S. Gindikin, P. Michor, eds.), International Press, 1994, pp. 123–128.
[G2] Gindikin S., Holomorphic language for
-cohomology and representations of real semisimple Lie groups, Contemporary Math. 154 (1993), 103–115.[G3] Gindikin S., Integral formulas and integral geometry for
-cohomology in ℂP
n, Funct. Anal. Prilozh. 18 (1984), no. 2, 26–33 (Russian); Engl. transl.: Funct. Anal. Appl. 18 (1984).[G4] Gindikin S., Unitary representations of groups of authomorphisms of Riemann symmetric spaces of null curvature, Funct. Anal. Prilozh. 1 (1967), 26–33 (Russian); Engl. transl.: Funct. Anal. Appl. 1 (1967), 28–32.
[G5] Gindikin S., Fourier transform and Hardy spaces of
-cohomology in tube domains, C.R. Acad. Sci. Paris 415 série I (1992), 1139–1143.[G6] Gindikin S., Integral geometry on real quadrics, Amer. Math. Soc. Transl.(2) 169 (1995), 23–31.
[GH] Gindikin S, Khenkin G., The Cauchy-Fantappie formula on projective space, Amer. Mth. Soc. Transl.(2) 146 (1990), 23–32.
[GRS] Gindikin S., Reeds J., Shepp L., Spherical tomography and spherical integral geometry, Lectures in Applied Math. 30 (1994), Amer. Math. Soc., 83–92.
[Gon] Goncharov A., Integral geometry and D-modules, Math. Research Letters 2 (1995), 415–435.
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Gindikin, S. (1998). Real integral geometry and complex analysis. In: Casadio Tarabusi, E., Picardello, M.A., Zampieri, G. (eds) Integral Geometry, Radon Transforms and Complex Analysis. Lecture Notes in Mathematics, vol 1684. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096091
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DOI: https://doi.org/10.1007/BFb0096091
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-cohomology and representations of real semisimple Lie groups, Contemporary Math. 154 (1993), 103–115.
-cohomology in ℂP
n, Funct. Anal. Prilozh. 18 (1984), no. 2, 26–33 (Russian); Engl. transl.: Funct. Anal. Appl. 18 (1984).
-cohomology in tube domains, C.R. Acad. Sci. Paris 415 série I (1992), 1139–1143.