JEDNOSTKA NAUKOWA KATEGORII A+

Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

Equicontinuity and Convergent Sequences in the Spaces $\mathcal O^\prime_C$ and $\mathcal O_M$

Tom 59 / 2011

Bulletin Polish Acad. Sci. Math. 59 (2011), 223-235 MSC: Primary 46F99. DOI: 10.4064/ba59-3-5

Streszczenie

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.

Autorzy

• Jan KisyńskiInstitute of Mathematics