Venue: Two problems in Fourier analysis

Speaker:Prof. Qiyu Sun (University of Central Florida )

Time:  May ,3, Thursday, 16:00-17:00

Location: Second Floor, Sir Run Run Shaw Business Administration Building, Yuquan Campus, Zhejiang University, Hangzhou, China

Abstract:

In this talk, I will discuss two problems in Fourier analysis. The first problem is related to spectra associated with probability measure on a fractal measure. In particular, I will consider spectra of the Cantor set, their algebraic and topological properties and convergence of spectral expansion. The second problem is related to Gabor frames. I will report a joint work with Dai and discuss full classification of ideal windows such that the corresponding Gabor system is a Gabor frame, which is known as the abc problem.