Regular Article
L2 Estimates for Weyl Quantization☆

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Abstract

Sharp L2 estimates for Weyl quantized pseudodifferential operators are established in the framework of Hörmander's classes of symbols Smϱ, δ. In particular, the case of forbidden symbols is discussed.

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Communicated by L. Carleson

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The author is indebted to Jean-Michel Bony and Nicolas Lerner for valuable remarks and suggestions. Part of this work was done while the author was in delegation at the CNRS.

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