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The Spectral Theory of Some Singular Hermitian Metrics and Applications to the Theory of Bessel Functions

Speaker

Mounir Hajli, Academia Sinica

Time

2017.01.11 13:30-14:30

Venue

Middle Lecture Room, Math Building

Abstract

In this talk, I will review the theory of Bessel functions and recall some applications of this theory to some physical problems. I will focus on the theory of Fourier-Bessel series and introduce a generalisation of this theory. This study is motivated by the spectral theory of some singular hermitian metrics that arise naturally on the complex projective line.