Fractional Integral transforms and Time-Frequency Representations

In the last twenty years or so a number of fractional integral transforms have been introduced, some are purely mathematical and some have practical applications, especially in signal processing and optics.

In this talk we introduce some of these fractional integral transforms, in particular, fractional Fourier transforms and their properties and then discuss their relationship with time-frequency representations, such as Radar Ambiguity functions, Wigner distributions and wavelets.

Bio: I am a Full Professor and the Chair of the Department of Mathematical Sciences, DePaul University, Chicago, Illinois, the 10th largest private university and the largest Catholic university in the United States. I came to Depaul University in September 2001 to chair the department. Prior to that, I was as Associate Chair for Graduate Studies at the Department of Mathematics, the University of Central Florida, Orlando, Florida (UCF).