On perturbations of pluriregular sets generated by sequences of polynomial maps
Annales Polonici Mathematici (2003)
- Volume: 80, Issue: 1, page 171-184
- ISSN: 0066-2216
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topMaciej Klimek. "On perturbations of pluriregular sets generated by sequences of polynomial maps." Annales Polonici Mathematici 80.1 (2003): 171-184. <http://eudml.org/doc/280867>.
@article{MaciejKlimek2003,
abstract = {It is shown that an infinite sequence of polynomial mappings of several complex variables, with suitable growth restrictions, determines a filled-in Julia set which is pluriregular. Such sets depend continuously and analytically on the generating sequences, in the sense of pluripotential theory and the theory of set-valued analytic functions, respectively.},
author = {Maciej Klimek},
journal = {Annales Polonici Mathematici},
keywords = {polynomial map; filled-in Julia set; pluriregular set; analytic multifunction},
language = {eng},
number = {1},
pages = {171-184},
title = {On perturbations of pluriregular sets generated by sequences of polynomial maps},
url = {http://eudml.org/doc/280867},
volume = {80},
year = {2003},
}
TY - JOUR
AU - Maciej Klimek
TI - On perturbations of pluriregular sets generated by sequences of polynomial maps
JO - Annales Polonici Mathematici
PY - 2003
VL - 80
IS - 1
SP - 171
EP - 184
AB - It is shown that an infinite sequence of polynomial mappings of several complex variables, with suitable growth restrictions, determines a filled-in Julia set which is pluriregular. Such sets depend continuously and analytically on the generating sequences, in the sense of pluripotential theory and the theory of set-valued analytic functions, respectively.
LA - eng
KW - polynomial map; filled-in Julia set; pluriregular set; analytic multifunction
UR - http://eudml.org/doc/280867
ER -
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