Composition operators on Hilbert spaces of entire Dirichlet series

• Main Authors: Hou, Xiaolu., Hu, Bingyang., Khoi, Le Hai.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/96892; http://hdl.handle.net/10220/13077
• Institution: Nanyang Technological University

In this Note, we introduce Hilbert spaces of entire Dirichlet series (with real frequencies) and consider composition operators on these spaces. We establish necessary and sufficient conditions for such series to have Ritt order zero, as well as a finite logarithmic order. Criteria for action, bo...