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/