2006/10/12 by Gruia Arsu, Arsu, Gruia · 1 citation
Engineering · Mathematics · #35S05 #42B15 #42B35 #43Axx #46-XX #47-XX #Analysis of PDEs (math.AP) #Class (philosophy) #Computer science #Differential operator #Endomorphism #FOS: Mathematics #Functional Analysis (math.FA) #Lemma (botany) #Mathematical Analysis and Transform Methods #Mathematics #Pure mathematics #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations #math.AP #math.FA #msc:35S05 #msc:42B15 #msc:42B35 #msc:43Axx #msc:46-XX #msc:47-XX
paper · pdf · doi:10.48550/arxiv.math/0610397
published in arXiv (Cornell University) (Cornell University)
arxiv created 2006/10/12 · openalex publication_date 2006/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove an extended version of Cordes' lemma concerning trace-class properties of some special pseudo-differential operators. This version of Cordes' lemma is used to improve the results in \citeArsu concerning the Schatten-class properties of pseudo-differential operators in the (X,τ) -quantization. Here X is an n dimensional vector space and τ is an endomorphism of X.