Ahmed I. Zayed earned his PhD in 1979 from the University of Wisconsin-Milwaukee. Prior to his position at DePaul University, he was an Associate Chair for Graduate Studies at the University of Central Florida.
Dr. Zayed’s research interests include Sampling Theory, Wavelets, Fractional Fourier transform, Sinc Approximations, Special Functions, Integral transforms, and mathematical applications in signal and image processing. He has published 9 books, 17 book chapters, and 106 research articles. He has served on the Editorial Boards of several mathematics and engineering journals, such as the journal of Integral Transforms and Special Functions and the International journal of Fractional Calculus and Applied Analysis. He has received several awards for excellence in research and online course design. He is currently serving as Chair of the
SampTA Steering Committee, An International Group on Sampling Theory and its Applications.
Selected publications:
- Wavelets and multiscale analysis. Theory and applications
Applied and Numerical Harmonic Analysis (2011), 335 pp., Birkhauser (editor, with J. Cohen).
- Shift-invariant and sampling spaces associated with the fractional Fourier transform domain
IEEE Trans. Signal Process. 60 (2012), no. 4, 1627-1637 (with A. Bhandari).
- Multiscale signal analysis and modeling
2013, 378 pp., Springer (editor, with Xiaoping Shen).
- Chromatic expansions in function spaces
Trans. Amer. Math. Soc. 366 (2014), no. 8, 4097-4125
- New perspectives on approximation and sampling theory
Applied and Numerical Harmonic Analysis (2014), 468 pp., Birkhauser (editor, with G. Schmeisser).
- On the Invalidity of Fourier Series Expansions of Fractional Order
Fract. Calc. Appl. Anal. 18 (2015), no. 6, 1507-1517 (joint with P. Massupost).
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A New Perspective on the Two-Dimensional Fractional Fourier Transform and its Relationship with the Wigner Distribution
Journal of Fourier Analysis and Applications, Vol. 25-2 (2019), pp. 460-487.