Daubechies' time-frequency localization operator on Cantor type sets II
نویسندگان
چکیده
We study a version of the fractal uncertainty principle in joint time-frequency representation. Namely, we consider Daubechies' localization operator projecting onto spherically symmetric n-iterate Cantor sets with an arbitrary base M>1 and alphabet A. derive upper bound asymptote up to multiplicative constant for norm terms M size |A| set. For any fixed size, show that there are such is optimal. In particular, precise mid-third set, which was studied part I [19]. Nonetheless, this does not extend every set as provide examples where optimal achieved.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109412