Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups
نویسندگان
چکیده
Let G be a step two nilpotent Lie group. In this paper, we give necessary and sufficient conditions on the operator valued symbols σ such that associated pseudo-differential operators Tσ are in class of Hilbert-Schmidt operators. As key to prove this, define (μ,ν)-Weyl transform derive trace formula for with L2(R2n). We show L2(G) same as symbol L2(R2n+r+k×R2n+r+k). Further, present characterization provide these
منابع مشابه
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ژورنال
عنوان ژورنال: Bulletin Des Sciences Mathematiques
سال: 2021
ISSN: ['0007-4497', '1952-4773']
DOI: https://doi.org/10.1016/j.bulsci.2021.103015