References

  1. Aytuna A., Sadullaev A. Polynomials on parabolic manifolds. In: Ibragimov Z., Levenberg N., Pinchuk S., Sadullaev A. (Eds.) Topics in several complex variables. First USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20–23, 2014, California State University, Fullerton, CA. Contemporary Mathematics, 662. AMS, Providence, RI, 2016, 1–22.
  2. Aytuna A., Sadullaev A. Parabolic Stein manifolds. Math. Scand. 2014, 114 (1), 86–109. doi:10.7146/math.scand.a-16640
  3. Björk J.E. On extensions of holomorphic functions satisfying a polynomial growth condition on algebraic varieties in \({\mathbb C}^{n}\). Ann. Inst. Fourier 1974, 24 (4), 157–165. doi:10.5802/aif.535
  4. Demailly J.P. Scindage holomorphe d’un morphisme de fibrés vectoriels semi-positifs avec estimations \(L^2\). In: Lelong P., Skoda H. (Eds.) Séminaire Pierre Lelong-Henri Skoda (Analyse) Années 1980/81. Lecture Notes in Mathematics, 919. Springer, Berlin, Heidelberg, 1982, 77–107. doi:10.1007/BFb0097044
  5. Griffiths P., King J. Nevanlinna theory and holomorphic mappings between algebraic varieties. Acta Math. 1973, 130, 145–220. doi:10.1007/BF02392265
  6. Hörmander L. \(L^{2}\) estimates and existence theorems for the \(\bar{\partial}\)-operator. Acta Math. 1965, 113, 89–152. doi:10.1007/BF02391775
  7. Nakano Sh. Extension of holomorphic functions with growth conditions. Publ. Res. Inst. Math. Sci. 1986, 22 (2), 247–258. doi:10.2977/prims/1195178068
  8. Nishimura Y. Problème d’extension dans la théorie des fonctions entières d’ordre fini. J. Math. Kyoto Univ. 1980, 20 (4), 635–650. doi:10.1215/kjm/1250522163 (in French)
  9. Rudin W., A geometric criterion for algebraic varieties. J. Math. Mech. 1968, 17 (7), 671–683.
  10. Sadullaev A. Deficient divisors in the Valiron sense. Math. USSR Sb. 1980, 36 (4), 535–547.
  11. Sadullaev A. Criteria for analytic sets to be algebraic. In: Holomorphic functions of several complex variables. Institute of Physics SB AS USSR, Krasnoyarsk, 1976, 107–122. (in Russian)
  12. Sadullaev A. Plurisubharmonic functions. In: Khenkin G.M., Vitushkin A.G. (Eds.) Several Complex Variables II. Encyclopaedia of Mathemtical Sciences, 8. Springer, Berlin, Heidelberg, 1994, 59–106. doi:10.1007/978-3-642-57882-3_2
  13. Siciak J. On some extremal functions and their applications in the theory of analytic functions of several complex variables. Trans. Amer. Math. Soc. 1962, 105, 322–357. doi:10.1090/S0002-9947-1962-0143946-5
  14. Skoda H. Application des techniques \(L^2\) à la théorie des idéaux d’une algèbre de fonctions holomorphes avec poids. Ann. Sci. de l’École Norm. Sup. 1972, 5 (4), 545–579. (in French)
  15. Stoll W. Value distribution on parabolic spaces. Lecture Notes in Mathematics, 600. Springer, Berlin, Heidelberg, 1977.
  16. Stoll W. The characterization of strictly parabolic manifolds. Ann. Scuola Norm. Super. Pisa-Classe Sci. 1980, 7 (1), 87–154.