On the Usefulness of Modulation Spaces in Deformation Quantization

Details On the Usefulness of Modulation Spaces in Deformation Quantization On the Usefulness of Modulation Spaces in Deformation Quantization

2009-01-09

arxiv.org/abs/0901.1275v1

Physics

Mathematical Physics

Submitted

Scientific paper

We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjoestrand classes. These function spaces are good classes of symbols of pseudo-differential 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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