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Formal relations between quasianalytic functions of some fixed class

100%

Broglia F., Elkhadiri A., Pieroni F.

Annales Polonici Mathematici

2004

tom 83

nr 1

35-40

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.

Semialgebraicity of certain local loci

100%

Acquistapace F., Andradas C., Broglia F.

Banach Center Publications

1998

tom 44

nr 1

11-20

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

2 Broglia F.

1 Acquistapace F.

1 Andradas C.

1 Elkhadiri A.

1 Pieroni F.

1 2004

1 1998

Wyniki wyszukiwania

Formal relations between quasianalytic functions of some fixed class

Semialgebraicity of certain local loci