Meromorphic extension of holomorphic functions with growth conditions

Leif Abrahamsson

Bulletin de la Société Mathématique de France (1982)

  • Volume: 110, page 417-427
  • ISSN: 0037-9484

How to cite

top

Abrahamsson, Leif. "Meromorphic extension of holomorphic functions with growth conditions." Bulletin de la Société Mathématique de France 110 (1982): 417-427. <http://eudml.org/doc/87426>.

@article{Abrahamsson1982,
author = {Abrahamsson, Leif},
journal = {Bulletin de la Société Mathématique de France},
keywords = {meromorphic continuation; plurisubharmonic functions; exceptional sets; meromorphic extension},
language = {eng},
pages = {417-427},
publisher = {Société mathématique de France},
title = {Meromorphic extension of holomorphic functions with growth conditions},
url = {http://eudml.org/doc/87426},
volume = {110},
year = {1982},
}

TY - JOUR
AU - Abrahamsson, Leif
TI - Meromorphic extension of holomorphic functions with growth conditions
JO - Bulletin de la Société Mathématique de France
PY - 1982
PB - Société mathématique de France
VL - 110
SP - 417
EP - 427
LA - eng
KW - meromorphic continuation; plurisubharmonic functions; exceptional sets; meromorphic extension
UR - http://eudml.org/doc/87426
ER -

References

top
  1. [1] CARLESON (L.). — Selected problems on exceptional sets. Van Nostrand Math. Studies no. 13, Van Nostrand, Princeton, N. J. (1967). Zbl0189.10903MR37 #1576
  2. [2] CEGRELL (U). — Removable singularities for plurisubharmonic functions and related problems. Proc. London Math. Soc. (3) 36, 310-336 (1978). Zbl0375.32013MR80m:32017
  3. [3] CEGRELL (U). — Some remarks on removable singularities for analytic functions with growth conditions. Manuscript, Uppsala (1981). 
  4. [4] HARVEY (R.) and POLKING (J.). — Extending analytic objects. Comm. pure appl. math. 28, 701-727 (1975). Zbl0323.32013MR53 #13642
  5. [5] HÖRMANDER (L.). — An introduction to complex analysis in several variables. North Holland Publ. Co. (1973). Zbl0271.32001
  6. [6] KISELMAN (C. O.). — Densité des fonctions plurisousharmoniques. Bull. Soc. Math. France 107, 259-304 (1979). Zbl0416.32007MR80k:32021
  7. [7] LELONG (P.). — Plurisubharmonic functions and positive differential forms. New York : Gordon and Breach (1969). Zbl0195.11604
  8. [8] SCHIFFMAN (B.). — On the removal of singularities of analytic sets. Michigan Math. J. 15, 111-120 (1968). Zbl0165.40503MR37 #464
  9. [9] SCHIFFMAN (B.). — Extension of positive line bundles and meromorphic maps. Invent. Math. 15, 332-347 (1972). Zbl0223.32017MR51 #10689
  10. [10] SIU (Y.-T.). — Analyticity of sets associated to Lelong numbers and extension of meromorphic maps. Bull. Amer. Math. Soc. (N.S.) 79 : 2, 1200-1205 (1973). Zbl0282.32006MR48 #8842
  11. [11] SIU (Y.-T.). — Analyticity of sets associated to Lelong numbers and the extension of closed positive currents. Invent. Math. 27, 53-156 (1974). Zbl0289.32003MR50 #5003
  12. [12] SKODA (H.). — Sous-ensembles analytiques d'ordre fini ou infini dans ℂn. Bull. Soc. Math. France 100, 353-408 (1978). Zbl0246.32009MR50 #5004
  13. [13] THIE (P.). — The Lelong number of a point of a complex analytic set. Math. Ann. 172, 269-312 (1967). Zbl0158.32804MR35 #5661

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.