Beals characterization of pseudodifferential operators in Wiener spaces

2015/07/09 by L. Amour, Amour, L., R. Lascar +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1507.02567

arxiv created 2015/07/09 · arxiv updated 2015/07/10

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 Calderón-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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