Research Area: Analysis

Research Profile: Fourier analysis, functional analysis
My research interests are mainly concentrated in the areas of Fourier Analysis and Functional Analysis. More recently, moments problems as well as their continuous analogues which deal with positive-definite functions and Fourier transform of measures have played an important role in my research. These problems have many applications to the theory of non-trigonometric expansions of functions using Riesz bases or frames of exponentials and to the non-uniform sampling theory in various spaces of band-limited functions. Reproducing kernel Hilbert spaces, Complex Analysis, and the theory of (Schwartz) Distributions are important tools used in these areas of Fourier Analysis.

Fourier analysis, functional analysis

2021/2022
Math 1A03
Math 2ZZ3
Math 3I03

2020/2021
Math 2C03
Math 2ZZ3
Math 722

2019/2020
Math 2C03
Math 2ZZ3
Math 4A03/6A03

2018/2019
Math 2C03
Math 3I03
Math 4AT3
Math 722

2017/2018
On Research Leave

2016/2017
Math 2ZZ3
Math 3I03
Math 722

2015/2016
Math 1ZA3
Math 1ZB3
Math 3I03
Math 727

2014/2015
Math 3FF3
Math 3I03
Math 4X03/6X03

2013/14
Math 3FF3
Math 3I03
Math 4X03/6X03