Advertisement

Real integral geometry and complex analysis

  • Simon Gindikin
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1684)

Keywords

Holomorphic Function Hardy Space Cohomology Class Inversion Formula Integral Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [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.Google Scholar
  2. [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.MathSciNetGoogle Scholar
  3. [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.MathSciNetGoogle Scholar
  4. [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.MathSciNetGoogle Scholar
  5. [GGV] Gelfand, I., Graev M., Vilenkin N., Integral geometry and representation theory,, Generalized Functions, vol. 5, Fizmatgiz, 1962 (Russian); Engl. transl.: Academic Press, 1966.Google Scholar
  6. [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.Google Scholar
  7. [G2] Gindikin S., Holomorphic language for Open image in new window-cohomology and representations of real semisimple Lie groups, Contemporary Math. 154 (1993), 103–115.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [G3] Gindikin S., Integral formulas and integral geometry for Open image in new window-cohomology in ℂP n, Funct. Anal. Prilozh. 18 (1984), no. 2, 26–33 (Russian); Engl. transl.: Funct. Anal. Appl. 18 (1984).MathSciNetGoogle Scholar
  9. [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.Google Scholar
  10. [G5] Gindikin S., Fourier transform and Hardy spaces of Open image in new window-cohomology in tube domains, C.R. Acad. Sci. Paris 415 série I (1992), 1139–1143.MathSciNetzbMATHGoogle Scholar
  11. [G6] Gindikin S., Integral geometry on real quadrics, Amer. Math. Soc. Transl.(2) 169 (1995), 23–31.MathSciNetCrossRefzbMATHGoogle Scholar
  12. [GH] Gindikin S, Khenkin G., The Cauchy-Fantappie formula on projective space, Amer. Mth. Soc. Transl.(2) 146 (1990), 23–32.zbMATHGoogle Scholar
  13. [GRS] Gindikin S., Reeds J., Shepp L., Spherical tomography and spherical integral geometry, Lectures in Applied Math. 30 (1994), Amer. Math. Soc., 83–92.Google Scholar
  14. [Gon] Goncharov A., Integral geometry and D-modules, Math. Research Letters 2 (1995), 415–435.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • Simon Gindikin
    • 1
  1. 1.Department of Mathematics, Hill CenterRutgers UniversityNew BrunswickU.S.A.

Personalised recommendations