We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-5,
author = {Jonathan Beardsley and Piotr Mikusi\'nski},
title = {A sheaf of Boehmians},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {293-307},
zbl = {1275.46027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-5}
}
Jonathan Beardsley; Piotr Mikusiński. A sheaf of Boehmians. Annales Polonici Mathematici, Tome 107 (2013) pp. 293-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-5/