On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem
On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem
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关于紧李群的一类非局部椭圆算子。
DOI：
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发表时间：
2011
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通讯作者：
B. Sternin
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文献类型：
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作者：
B. Sternin
考虑光滑闭流形上与紧李群G的作用相关的一类非局部算子。得到了椭圆算子的椭圆性条件和Fredholm性质。利用伪微分均匀化方法研究了这类算子，将问题简化为作用于无限维束的截面上的伪微分算子。
We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles.