Spectral Theory research group

Members of this research group include: M. Levitin and B. Pelloni.

Current research being undertaken includes

Linear PDEs and spectral theory
B. Pelloni plus research students

The Fokas transform approach can be used for the study of linear problems. This study yielded interesting and unexpected results, such as a characterisation theorem on the boundary conditions that yield two-point boundary value problems which are well posed. It also provided a new way to characterise problems whose solution admits a series representation, by exploiting general results in the theory of entire functions of finite exponential sum type. This work has been extended and set on a fully rigorous footing in the PhD research of my student David A. Smith (PhD expected 2011).