论文标题
半经典伪差异操作员和分解参数，具有末端的歧管
Semiclassical pseudodifferential operators and resolvent parametrices on manifolds with ends
论文作者
论文摘要
我们构建了椭圆差分运算符的分解的参数，该椭圆形差分运算符作用于末端的歧管上的半浓度。通过引入与末端结构兼容的合适的假差算子来进行结构。我们的伪差操作员和符号类别独立于歧管上的riemannian度量的选择，并且适用于两个渐近的圆锥形和双曲线歧管。作为一种应用，我们证明了椭圆形差异算子在流形上的基本自我相互接合。
We construct a parametrix of a resolvent of elliptic differential operators acting on half-densities on manifolds with ends. The construction is carried out by introducing suitable pseudodifferential operators compatible with the end structure. Our class of pseudodifferential operators and symbols is independent of the choice of Riemannian metric on the manifold and applicable to both of asymptotically conical and hyperbolic manifolds. As an application, we prove the essential self-adjointness of elliptic symmetric differential operators on manifolds.
