@article {
author = {Mortazavizadeh, Mahdi and Raisi Tousi, Reihaneh},
title = {Modulation invariant spaces on locally compact abelian groups},
journal = {Khayyam Journal of Mathematics},
volume = {7},
number = {2},
pages = {232-240},
year = {2021},
publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2020.230232.1827},
abstract = {We define and investigate modulation invariant spaces on a locally compact abelian group $G$ with respect to a closed subgroup of the dual group $\widehat{G}$. Using a range function approach, we establish a characterization of modulation invariant spaces. Finally, we define a metric on the collection of all modulation invariant spaces and study some topological properties of the metric space.},
keywords = {locally compact abelian group,modulation invariant space,range function,modulation metric},
url = {http://www.kjm-math.org/article_130362.html},
eprint = {http://www.kjm-math.org/article_130362_5c9fdf9f889b12fc3a991c2cf05a3f85.pdf}
}