JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE

Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 2

Abstract

The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f: R^n → R^n (C^n → C^n) provided that jacobian J_f ≡ const ≠ 0. In this note we consider structure of polynomial mappings f that provide J_f ≡ const ≠ 0.

Authors and Affiliations

V. V. Starkov

Keywords

Related Articles

ON CHARACTERIZATIONS OF MAIN PARTS OF SOME MEROMORPHIC CLASSES OF AREA NEVANLINNA TYPE IN THE UNIT DISK

We characterize main parts of Loran expansions of certain meromorphic spaces in the unit disk defined with the help of Nevanlinna characteristic.

ON SOLVABILITY OF ONE DIFFERENCE EQUATION

We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides. Also we sho...

GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS

We define a minimal operator L_0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗_0. We prove that every generalized resolvent of L_0 is an integral operator an...

О СОВЕРШЕННО Х-НОРМАЛЬНЫХ ПРОСТРАНСТВАХ

In this paper we learn class of perfectly x-normal spaces. It gives their hereditary characterization. Under the axiom of Jensen, we exhibit existence of hereditily perfectly x-normal space, which is not perfectly normal...

ON DECRIPTIONS OF CLOSED IDEALS OF ANALYTIC AREA NEVANLINNA TYPE CLASSES IN A CIRCULAR RING ON A COMPLEX PLANE C

We define certain new large area Nevanlinna type spaces in circular ring K on a complex plane and provide complete decriptions of ideals of these new scales of spaces. Our results extend some previously known assertions.

Download PDF file
  • EP ID EP225111
  • DOI 10.15393/j3.art.2016.3510
  • Views 115
  • Downloads 0

How To Cite

V. V. Starkov (2016). JACOBIAN CONJECTURE, TWO-DIMENSIONAL CASE. Проблемы анализа-Issues of Analysis, 5(2), 69-78. https://europub.co.uk./articles/-A-225111