On horospheres and holomorphic endomorfisms of the Siegel disc

Giovanni Bassanelli

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 70, page 147-165
  • ISSN: 0041-8994

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Bassanelli, Giovanni. "On horospheres and holomorphic endomorfisms of the Siegel disc." Rendiconti del Seminario Matematico della Università di Padova 70 (1983): 147-165. <http://eudml.org/doc/107915>.

@article{Bassanelli1983,
author = {Bassanelli, Giovanni},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {horospheres; Kobayashi distance; Julia's lemma; strictly pseudo-convex domains; Siegel disc; holomorphic endomorphism},
language = {eng},
pages = {147-165},
publisher = {Seminario Matematico of the University of Padua},
title = {On horospheres and holomorphic endomorfisms of the Siegel disc},
url = {http://eudml.org/doc/107915},
volume = {70},
year = {1983},
}

TY - JOUR
AU - Bassanelli, Giovanni
TI - On horospheres and holomorphic endomorfisms of the Siegel disc
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 70
SP - 147
EP - 165
LA - eng
KW - horospheres; Kobayashi distance; Julia's lemma; strictly pseudo-convex domains; Siegel disc; holomorphic endomorphism
UR - http://eudml.org/doc/107915
ER -

References

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  1. [1] H. Alexander, Holomorphic mappings from the ball and polydisc, Math. Ann., 209 (1974), pp. 249-256. Zbl0272.32006MR352531
  2. [2] G. Bassanelli, On holomorphic endomorphisms of the ball, to appear in Rend. Acc. Naz. Lincei. Zbl0523.32017
  3. [3] C. Carathéodory, Theory of functions of a complex variable, Chelsea Publishing Co., 1954. Zbl0055.30301
  4. [4] T. Franzoni - E. Vesentini, Holomorphic maps and invariant distances, Noth-Holland, 1980. Zbl0447.46040MR563329
  5. [5] R.C. Gunning - H. Rossi, Analytic functions of severals complex variables, Prentice-Hall, 1965. Zbl0141.08601MR180696
  6. [6] W.S. Massey, Singular homology theory, Springer, 1980. Zbl0442.55001MR569059
  7. [7] S. Murakami, On automorphisms of Siegel domains, Lecture Notes in Math., 286, Springer, 1972. Zbl0245.32001MR364690
  8. [8] L. Niremberg - S. Webster - P. Yang, Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math., 33 (1980), pp. 305-338. Zbl0436.32018MR562738
  9. [9] V.P. Potapov, The multiplicative structure of J-contractive matrix functions, Amer. Math. Soc. Trans., Series 2, 15 (1960), pp. 131-243. Zbl0090.05403MR114915
  10. [10] W. Rudin, Function theory in the unit ball of Cn, Springer, 1980. Zbl0495.32001MR601594
  11. [11] C.L. Siegel, Symplectic geometry, Academic Press, 1964. Zbl0138.31403MR164063
  12. [12] P. Yang, Holomorphic curves and boundary regularity of biholomorphic maps of pseudo-convex domains, unpublished. 

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