Quasi-Banach modulation spaces and localization operators on locally compact abelian groups
نویسندگان
چکیده
Abstract We introduce new quasi-Banach modulation spaces on locally compact abelian groups which coincide with the classical ones in Banach setting and prove their main properties. Then, we study Gabor frames quasi-lattices, significantly extending original theory introduced by Gröchenig Strohmer. These issues are key tools showing boundedness results for Kohn–Nirenberg localization operators studying eigenfunctions’ In particular, Euclidean space recaptured.
منابع مشابه
Modulation Spaces on Locally Compact Abelian Groups
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ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2022
ISSN: ['1735-8787', '2662-2033']
DOI: https://doi.org/10.1007/s43037-022-00205-6