Abstract
We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjöstrand classes . These function spaces are good classes of symbols of pseudodifferential operators (observables). They have a widespread use in time–frequency analysis and related topics, but are not very well known in physics. It turns out that they are particularly well adapted to the study of the Moyal star product and of the star exponential.
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