Łojasiewicz Exponent of Overdetermined Mappings
Stanisław Spodzieja; Anna Szlachcińska
Bulletin of the Polish Academy of Sciences. Mathematics (2013)
- Volume: 61, Issue: 1, page 27-34
- ISSN: 0239-7269
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topStanisław Spodzieja, and Anna Szlachcińska. "Łojasiewicz Exponent of Overdetermined Mappings." Bulletin of the Polish Academy of Sciences. Mathematics 61.1 (2013): 27-34. <http://eudml.org/doc/281313>.
@article{StanisławSpodzieja2013,
abstract = {A mapping $F:ℝ ⁿ → ℝ^m$ is called overdetermined if m > n. We prove that the calculations of both the local and global Łojasiewicz exponent of a real overdetermined polynomial mapping $F:ℝ ⁿ → ℝ^m$ can be reduced to the case m = n.},
author = {Stanisław Spodzieja, Anna Szlachcińska},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Lojasiewicz exponent; polynomial mapping; analytic mapping},
language = {eng},
number = {1},
pages = {27-34},
title = {Łojasiewicz Exponent of Overdetermined Mappings},
url = {http://eudml.org/doc/281313},
volume = {61},
year = {2013},
}
TY - JOUR
AU - Stanisław Spodzieja
AU - Anna Szlachcińska
TI - Łojasiewicz Exponent of Overdetermined Mappings
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 1
SP - 27
EP - 34
AB - A mapping $F:ℝ ⁿ → ℝ^m$ is called overdetermined if m > n. We prove that the calculations of both the local and global Łojasiewicz exponent of a real overdetermined polynomial mapping $F:ℝ ⁿ → ℝ^m$ can be reduced to the case m = n.
LA - eng
KW - Lojasiewicz exponent; polynomial mapping; analytic mapping
UR - http://eudml.org/doc/281313
ER -
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