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