Characterizations of equicontinuity and convergent sequences are given for the space of rapidly decreasing distributions and the space of slowly increasing infinitely differentiable functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-3-5,
author = {Jan Kisy\'nski},
title = {Equicontinuity and Convergent Sequences in the Spaces $ ^{\prime }\_C$ and $\_M$
},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {59},
year = {2011},
pages = {223-235},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-3-5}
}
Jan Kisyński. Equicontinuity and Convergent Sequences in the Spaces $ ^{\prime }_C$ and $_M$
. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) pp. 223-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-3-5/