We consider various generalizations of linear homogeneous distributions on adeles and construct a number of algebras of non-linear generalized functions on adeles and totally disconnected groups such as the discrete adeles.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-19,
author = {Yakov V. Radyno and Yauhen M. Radyna},
title = {Generalized functions on adeles. Linear and non-linear theories},
journal = {Banach Center Publications},
volume = {89},
year = {2010},
pages = {243-250},
zbl = {1195.43003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-19}
}
Yakov V. Radyno; Yauhen M. Radyna. Generalized functions on adeles. Linear and non-linear theories. Banach Center Publications, Tome 89 (2010) pp. 243-250. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-19/