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A boundary rigidity problem of analytic function |
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รหัสดีโอไอ | |
Title | A boundary rigidity problem of analytic function |
Creator | Tatchai Titichetrakun |
Contributor | Nataphan Kitisin |
Publisher | Chulalongkorn University |
Publication Year | 2552 |
Keyword | Geometry, Differential, Functions of complex variables |
Abstract | In 1994, Burns and Krantz proved that an analytic function on the unit disc approaching a ̄xed point at the boundary with certain rate must be identity. This is essentially a boundary rigidity condition. In this thesis, we present the phenomena on simply connected domain with nice boundary and in the case of non-tangential limit. We also investigate the boundary rigidity problem on the Blascke's product |
URL Website | cuir.car.chula.ac.th |