Abstract
We show that polynomial flows on Rn extend to functions holomorphic on Cn + 1 and that the group property holds after this extension. Then we give some methods, based on power series, for determining when a vector field has a polynomial flow.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 493-506 |
| Number of pages | 14 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 320 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1990 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Polynomial flows on Cn . / Coomes, Brian A.
In: Transactions of the American Mathematical Society, Vol. 320, No. 2, 1990, p. 493-506.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Polynomial flows on Cn
AU - Coomes, Brian A
PY - 1990
Y1 - 1990
N2 - We show that polynomial flows on Rn extend to functions holomorphic on Cn + 1 and that the group property holds after this extension. Then we give some methods, based on power series, for determining when a vector field has a polynomial flow.
AB - We show that polynomial flows on Rn extend to functions holomorphic on Cn + 1 and that the group property holds after this extension. Then we give some methods, based on power series, for determining when a vector field has a polynomial flow.
UR - http://www.scopus.com/inward/record.url?scp=0010951042&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0010951042&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-1990-0998353-7
DO - 10.1090/S0002-9947-1990-0998353-7
M3 - Article
AN - SCOPUS:0010951042
VL - 320
SP - 493
EP - 506
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 2
ER -