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
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.
Keywords:
characterizations equicontinuity convergent sequences given space mathcal prime mathbb rapidly decreasing distributions space mathcal mathbb slowly increasing infinitely differentiable functions
Affiliations des auteurs :
Jan Kisyński 1
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title = {Equicontinuity and {Convergent} {Sequences} in the {Spaces} $\mathcal O^\prime_C$ and $\mathcal O_M$},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {223--235},
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volume = {59},
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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
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