Affine quantum harmonic analysis
نویسندگان
چکیده
We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in literature such as localization operators, covariant integral quantizations, and quadratic time-frequency representations. In process, we notion of admissibility operators extend well known results to operator setting. A major theme paper is interaction between convolutions, Weyl quantization, admissibility.
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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.2021.109327