Geodesic
Equicontinuity and Convergent Sequences in the Spaces $\mathcal O^\prime_C$ and $\mathcal O_M$
Jan Kisyński1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 3, pp. 223-235.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Characterizations of equicontinuity and convergent sequences are given for the space $\mathcal O^\prime_C(\mathbb R^n)$ of rapidly decreasing distributions and the space $\mathcal O_M(\mathbb R^n)$ of slowly increasing infinitely differentiable functions.
DOI : 10.4064/ba59-3-5
Keywords: characterizations equicontinuity convergent sequences given space mathcal prime mathbb rapidly decreasing distributions space mathcal mathbb slowly increasing infinitely differentiable functions

Jan Kisyński 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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Jan Kisyński. Equicontinuity and Convergent Sequences in the Spaces $\mathcal O^\prime_C$ and $\mathcal O_M$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 3, pp. 223-235. doi : 10.4064/ba59-3-5. http://geodesic.mathdoc.fr/articles/10.4064/ba59-3-5/

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