论文标题
严格的转移操作员方法，用于非紧凑双曲线轨道
Strict transfer operator approaches for non-compact hyperbolic orbisurfaces
论文作者
论文摘要
通过构建以前的结果和尖峰扩展算法，我们为无尖的无限面积的无限发育层圆环构建了严格的转移操作员方法。连同尖齿的尖齿膨胀算法，这为所有符合轻度假设的双曲线孔提供了严格的转移操作员方法。对于每个这样的Orbisurface，我们获得明确的转移操作员家族，由于Fedosova和pohl的结果，Fredholm的决定符函数被认为与相关的Selberg Zeta函数相同。
By building on former results and the cusp expansion algorithm, we construct strict transfer operator approaches for geometrically finite developable hyperbolic orbisurfaces of infinite area without cusps. Together with the cusp expansion algorithm for orbisurfaces with cusps, this provides strict transfer operator approaches for all hyperbolic orbifolds fulfilling mild assumptions. For every such orbisurface we obtain explicit transfer operator families for which, by virtue of a result of Fedosova and Pohl, the Fredholm determinant function is seen to be identical to the associated Selberg zeta function.
