Caractérisation des anneaux noethériens de séries formelles à croissance controlée: application à la synthèse spectrale
- Autores: Jacques Chaumat, Anne-Marie Chollet
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 2, 1997, págs. 545-561
- Idioma: francés
- DOI: 10.5565/publmat_41297_18
- Títulos paralelos:
- Caracterización de anillos noetherianos de series formales con crecimiento controlado: aplicación a la síntesis espectral
- Characterization of Noetherian rings of formal power series with controlled growth: application to spectral synthesis
- Enlaces
-
Resumen
Given a subring of the ring of formal power series defined by the growth of the coefficients, we prove a necessary and sufficient condition for it to be a noetherian ring. As a particular case, we show that the ring of Gevrey power series is a noetherian ring. Then, we get a spectral synthesis theorem for some classes of ultradifferentiable functions.
¿Es nuevo? Regístrese
Ventajas de registrarse
