Abdelkrim Bourouihiya, Ph.D.

Associate Professor
Department of Mathematics
(954) 262-7996
ab1221@nova.edu

Education:

Research Interest(s):

Courses Taught:

My research projects center on multipliers, HRT conjecture, radar signals, and data compression.

1. A. Bourouihiya. Decomposition of Finite Schmidt Rank Bounded Operators on the Tensor Product of Separable Hilbert Spaces. Submitted.
2. A. Bourouihiya. A Gabor Analysis Approach to the Synthesis Problem for the Radar Ambiguity Function. Submitted.
3. J. J. Benedetto, A. Bourouihiya. Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity, Jou. Geometric Analysis, January 2015, Volume 25, Issue 1, pp 226-254.
4. A. Bourouihiya. Data Adaptive Compression and Data Encryption using Kronecker Products. International Patent Application: PCT/US15/046382 (2015).
5. A. Bourouihiya. The Tensor Product of Frames, Sampling Theory in Signal and
Image Processing. Vol 7, No 1, Jan 2008, pp 65-76.
6. M. Akouchi, A. Bakali and A. Bourouihiya, Compatifiant Algebras and the C*-Algebras of the affine group. MATH. RECH. APPL., Vol.9, (2007), pp. 1-16.
7. A. Bourouihiya. The ambiguity Function of Signal Coded by Finite Gabor Systems,
Sensor, Signal and Information Processing Workshop, May 2008. www.ese.wustl.edu/ nehorai/DARPA/publications.html
8. J. J. Benedetto, A. Bourouihiya, I. Konstantinidis and K. Okoudjou. Concatenating Codes for Improved Ambiguity Behavior, Electromagnetics in Advanced Applications, 2007. ICEAA 2007, pp 464-467.
9. A. Bourouihiya and S. Kabbaj. On the Spectral Analysis of Convolution Operators of the Affine Group, MATH. RECH. APPL., 1 (1999), pp. 77-82.
1. Some Problems in Mathematics with Applications to Communication Theory. The first International Congress of the Moroccan Society of Mathematics, under the theme "Operational Approach in Mathematics", Kenitra, Morocco, July 2013.
2. Fractional Calculus and Applications. Mathematics Colloquium Series, Nova Southeastern University, 2011.
3. A Gabor Analysis Approach to the Ambiguity Function Synthesis Problem. J.J. Benedetto's Seventy Birthday Conference, University of Maryland, 2009.
4. Signals coded by finite Gabor systems. First Sensor, Signal and Information Processing (SenSIP) Workshop, May 11-14, 2008. Sedona, Arizona.
5. Signals coded by finite Gabor systems and transformations reducing sidelobes. The Norbert Wiener Seminar, University of Maryland, March 2008.
6. Time-Frequency Analysis and Applications. Analysis Seminar, Kenitra, Morocco, July 2007.
7. Certain properties of convolution operators and Fourier transform in the affine group. The Norbert Wiener Seminar, University of Maryland, Nov 2006.
8. Pseudo-differential operators and Banach algebras in mobile communications. Harmonic Analysis Seminar, University of Maryland, Oct 2005.
9. Multipliers of Beurling weighted spaces. Harmonic Analysis Seminar, University of Maryland, Oct 2004.
10. Compactifiant Algebras and the affine Group. CIMPA-UNSA-UNESCO Summer Mathematical School. Kenitra, Morocco. August 1999.