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arXiv · 1307.5000

Weyl composition of symbols in large dimension

Laurent Amour·Jean Nourrigat
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Abstract

This paper is concerned with the Weyl composition of symbols in large dimension. We specify a class of symbols in order to estimate the Weyl symbol of the product of two Weyl $h-$pseudodifferential operators, with constants independent of the dimension. The proof includes a regularized and a hybrid compositions together with a decomposition formula. We also analyze in this context the remainder term of the semiclassical expansion of the Weyl composition.

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Laurent Amour, Jean Nourrigat. 2013-07-18. Weyl composition of symbols in large dimension. https://arxiv.org/abs/1307.5000

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