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Orlicz Modulation Spaces

—In this work we extend the deﬁnition of modulation spaces associated to Lebesgue spaces to Orlicz spaces and mixed-norm Orlicz spaces. We give the deﬁnition of the Orlicz spaces L Φ , a generalisation of the L p spaces of Lebesgue. Therefore we characterise the Young function Φ and give some basic properties of this spaces. We collect some facts about this spaces that we need for the time frequency analysis, then we introduce the Orlicz modulation spaces. Finally we present a discretisation of the Orlicz space and mixed-norm Orlicz space and a characterisation of the modulation space by discretisation.