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Defect measures on graded lie groups. (arXiv:1707.04002v1 [math.AP])
来源于:arXiv
In this article, we define a generalisation of microlocal defect measures
(also known as H-measures) to the setting of graded nilpotent Lie groups. This
requires to develop the notions of homogeneous symbols and classical
pseudo-differential calculus adapted to this setting and defined via the
representations of the groups. Our method relies on the study of the C
*-algebra of 0-homogeneous symbols. Then, we compute microlocal defect measures
for concentrating and oscillating sequences, which also requires to investigate
the notion of oscillating sequences in graded Lie groups. Finally, we discuss
compacity compactness approaches in the context of graded nilpotent Lie groups. 查看全文>>