论文标题
具有自动形态符号的构图操作员的频谱
Spectrum of a composition operator with automorphic symbol
论文作者
论文摘要
我们给出了由开放单元磁盘的自动形态引起的组成运算符光谱的完整表征，该磁盘的自动形态作用于包括Bloch空间和BMOA的分析功能的Banach空间家族。我们表明，对于抛物线和双曲线自动形态，频谱是单位圆。对于椭圆形的自动形态，频谱是单位圆的单位圆或有限的环状亚组。
We give a complete characterization of the spectrum of composition operators, induced by an automorphism of the open unit disk, acting on a family of Banach spaces of analytic functions that includes the Bloch space and BMOA. We show that for parabolic and hyperbolic automorphisms, the spectrum is the unit circle. For the case of elliptic automorphisms, the spectrum is either the unit circle or a finite cyclic subgroup of the unit circle.
