We initiate the study of sets of p-multiplicity in locally compact groups and their operator versions. We show that a closed subset E of a second countable locally compact group G is a set of p-multiplicity if and only if is a set of operator p-multiplicity. We exhibit examples of sets of p-multiplicity, establish preservation properties for unions and direct products, and prove a p-version of the Stone-von Neumann Theorem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-1-4,
author = {I. G. Todorov and L. Turowska},
title = {Sets of p-multiplicity in locally compact groups},
journal = {Studia Mathematica},
volume = {231},
year = {2015},
pages = {75-93},
zbl = {1316.47062},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-1-4}
}
I. G. Todorov; L. Turowska. Sets of p-multiplicity in locally compact groups. Studia Mathematica, Tome 231 (2015) pp. 75-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-1-4/