# Gabardo, Jean Pierre

##### Professor, Ph.D. (Maryland)

Dept. of Mathematics & Statistics, McMaster University

1280 Main Street West

Hamilton, Ontario,

Canada L8S 4K1

905-525-9140, **ext. 23416**

905-522-0935 (fax)

gabardo@mcmaster.ca**Office:** HH/309

## Research

**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.