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- W4289550986 abstract "Inspired by a recent article cite[JFAA, 28(2):1-34, (2022)]{Skrettingland2022JoFAaA}, this paper is devoted to the study of suitable window class in the framework of bounded linear operators on $L^2(rd)$. We establish a natural and complete characterization for the window class such that the corresponding STFT leads to equivalent norms of modulation spaces. The positive bounded linear operators are also characterized in Cohen's class distributions such that the corresponding quantities form equivalent norms of modulation spaces. As a generalization, we introduce a family of operator classes corresponding to the operator-valued modulation spaces. Some applications of our main theorems to the localization operators are also concerned." @default.
- W4289550986 created "2022-08-03" @default.
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- W4289550986 date "2022-07-30" @default.
- W4289550986 modified "2023-09-26" @default.
- W4289550986 title "A note on the operator window of modulation spaces" @default.
- W4289550986 doi "https://doi.org/10.48550/arxiv.2208.00340" @default.
- W4289550986 hasPublicationYear "2022" @default.
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