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arXiv · 1507.02567

Beals characterization of pseudodifferential operators in Wiener spaces

L. Amour·R. Lascar·J. Nourrigat
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Abstract

The aim of this article is to prove a Beals type characterization theorem for pseudodifferential operators in Wiener spaces. The definition of pseudodifferential operators in Wiener spaces and a Calder\'on-Vaillancourt type result appear in [1]. The set of symbols considered here is the one of [1]. The Weyl calculus in infinite dimension considered here emphasizes the role of the Wick bi-symbols.

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L. Amour, R. Lascar, J. Nourrigat. 2015-07-09. Beals characterization of pseudodifferential operators in Wiener spaces. https://arxiv.org/abs/1507.02567

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