Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere
International Mathematics Research Notices（2013）
摘要
Global quantization of pseudo-differential operators on general compact Lie groups G is introduced relying on the representation theory of the group rather than on expressions in local coordinates. A new class of globally defined symbols is introduced and related to the usual Hörmander’s classes of operators Ψm(G). Properties of the new class and symbolic calculus are analyzed. Properties of symbo...
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关键词
microlocal analysis.,. pseudo-differential operators,su2,compact lie groups,representations,3 dimensional,pseudo differential operator,functional analysis,representation theory,mathematical analysis
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