2013/07/18 by Laurent Amour, Amour, Laurent, Jean Nourrigat +1
Mathematics · #35S05 #47G30 #47L80 #Analysis of PDEs (math.AP) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #math.AP #msc:35S05 #msc:47G30 #msc:47L80
paper · pdf · doi:10.48550/arxiv.1307.5000
arxiv created 2013/07/18 · openalex publication_date 2013/07/18 · arxiv updated 2013/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.