On the complexification of real-analytic polynomial mappings of ℝ²

• Autorzy: Ewa Ligocka
• Języki publikacji: EN

Abstrakty

EN

We give a simple algebraic condition on the leading homogeneous term of a polynomial mapping from ℝ² into ℝ² which is equivalent to the fact that the complexification of this mapping can be extended to a polynomial endomorphism of ℂℙ². We also prove that this extension acts on ℂℙ²∖ℂ² as a quotient of finite Blaschke products.

Kategorie tematyczne

• 30C99: None of the above, but in this section
• 32H50: Iteration problems
• 30C62: Quasiconformal mappings in the plane
• 32D15: Continuation of analytic objects
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 30C10: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 2
• Strony: 119-125

Daty

wydano

2006

Twórcy

autor

Ewa Ligocka

• Institute of Mathematics, Department of Mathematics, Computer Science and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap88-2-3