The space of Laplace ultradistributions supported by a convex proper cone is introduced. The Seeley type extension theorem for ultradifferentiable functions is proved. The Paley-Wiener-Schwartz type theorem for Laplace ultradistributions is shown. As an application, the structure theorem and the kernel theorem for this space of ultradistributions are given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-18,
author = {S\l awomir Michalik},
title = {Laplace ultradistributions supported by a cone},
journal = {Banach Center Publications},
volume = {89},
year = {2010},
pages = {229-241},
zbl = {1202.46046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-18}
}
Sławomir Michalik. Laplace ultradistributions supported by a cone. Banach Center Publications, Tome 89 (2010) pp. 229-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-18/