Abstract
Using a previously obtained structure theorem for (w1,w2)-tempered ultradistributions by the classical Riesz representation theorem, we investigate the action of the Ornstein-Uhlenbeck semigroup on (w1,w2)-tempered ultradistributions. As a result, we observe that these tempered ultradistributions can be represented as boundary values to the heat equation ut − Au = 0, for t > 0.
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/140310
Recommended Citation
Abu-Dalu, Maysam; Qadomi, Ala; and Al-Sa’di, Sa’ud
(2020)
"Action of Ornstein-Uhlenbeck Semigroup on (w1,w2)-Tempered Ultradistributions,"
Applied Mathematics & Information Sciences: Vol. 14
:
Iss.
3
, Article 30.
DOI: http://dx.doi.org/10.18576/amis/140310
Available at:
https://dc.naturalspublishing.com/amis/vol14/iss3/30