Abstract

In this paper we are concerned with the properties of positivity, uncertainty principle and continuity in L p spaces of a generalized spectrogram. In particular we study the connections of a generalized spectrogram, as a subclass of the Cohen class, with the Rihaczek and the Wigner representations. We also consider the behavior of the generalized spectrogram with respect to the positivity and the L p boundedness of the corresponding localization operators.

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