Equicontinuity and Convergent Sequences in the Spaces $\mathcal O^\prime_C$ and $\mathcal O_M$
Volume 59 / 2011
Bulletin Polish Acad. Sci. Math. 59 (2011), 223-235
MSC: Primary 46F99.
DOI: 10.4064/ba59-3-5
Abstract
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.
