THE JACOBIAN CONJECTURE: STRUCTURE OF KELLER MAPPINGS
The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f : R n → R n (C n → C n ) under the assumption that Jf ≡ const 6= 0. In this paper, we consider the structure of polynomial mappings f with Jf ≡ const...
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2019-10-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=7211&lang=en |
| Summary: | The Jacobian conjecture was first formulated by
O. N. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f : R
n → R
n
(C
n → C
n
) under the
assumption that Jf ≡ const 6= 0. In this paper, we consider the
structure of polynomial mappings f with Jf ≡ const 6= 0.
|
|---|---|
| ISSN: | 2306-3424 2306-3432 |