On the usefulness of modulation spaces in deformation quantization

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On the Usefulness of Modulation Spaces in Deformation Quantization

We discuss the relevance to deformation quantization of Feichtinger’s modulation spaces, especially of the weighted Sjöstrand classesM s (R). 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...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical

سال: 2009

ISSN: 1751-8113,1751-8121

DOI: 10.1088/1751-8113/42/31/315205