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Complex analytic approach to finite-gap problems
时间  Datetime
2017-08-25 10:00 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Yik-Man Chiang
单位  Affiliation
Hong Kong University of Science and Technology
邀请人  Host
Zhu Zuonong
报告摘要  Abstract

There has been a sharp increase of research activities of the special Hill equation, the Whittaker-Hill equation in recent years. The Wh-equation is a second order linear Schrodinger type equation with an cosine potential.  The WH-equation has a wide range of applications. We show how a complex analytic (Nevanlinna theory) approach can explain some recent results of Djakov and Mitaygin (2005) concerning the semifinite-gap problems of the Whittaker-Hill equation. Moreover, we have derived closed form solution of the WH-equation.