Formal relations between quasianalytic functions of some fixed class

• Autorzy: F. Broglia , A. Elkhadiri , F. Pieroni
• Języki publikacji: EN

Abstrakty

EN

In [Ga] Gabrielov has given conditions under which the completion of the kernel of a morphism φ: A → B between analytic rings coincides with the kernel of the induced morphism φ̂: Â → B̂ between the completions. If B is a domain, a sufficient condition is that rk φ = dim(Â/ker φ̂), where rk φ is the rank of the jacobian matrix of φ considered as a matrix over the quotient field of B. We prove that the above property holds in a fixed quasianalytic Denjoy-Carleman class if and only if the class coincides with the ring of germs of analytic functions.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 1
• Strony: 35-40

Daty

wydano

2004

Twórcy

autor

F. Broglia

• Dipartimento di Matematica, Via Filippo Buonarroti 2, 56127 Pisa, Italy

autor

A. Elkhadiri

• Département de Mathématiques et Informatique, Faculté des Sciences, Université Ibn Tofail, B.P. 133, Kenitra, Morocco

autor

F. Pieroni

• Dipartimento di Matematica, Via Filippo Buonarroti 2, 56127 Pisa, Italy

Identyfikatory

DOI

10.4064/ap83-1-4