Faculté des Sciences Aïn Chock Casablanca

Pr. Ahmed Abouelaz
(Professor of mathematical Analysis)

Born 01. January 1953, Safi, Morocco

Contact details
Phone: (212) 661.69.34.20
E-mail: ah.abouelaz@gmail.com
Department of Mathematics and Computer Science
University Hassan II - Casablanca
Faculty of Sciences Aïn Chock
Route d'ElJadida, Km 8, B.P. 5366 Maârif
20100 Casablanca –Morocco

 

 

Brief overview of my academic education

I started my education at the primary school Sebt-Gzoula (Safi) whose director was Mr. CASTELI. Then I did  my studies at the college Ibn Khaldoun where I got aprizein Mathematics. Afterwards, I continued my education at the high school Ibn Abbad (Marrakech) where I got my bac degree in mathematical sciences.

 

In 1975, I got my bachelor’s degree in fundamental Mathematics at the Faculty of Sciences in Rabat. I want to note here that my professor DRISS KHALIL taught me the Fourier analysis in the academic levels called M3 and M4, and it was thanks to him that I liked this important topic of mathematical analysis.

 

During the academic year 1975-1976, I continued my graduate DEA studies at the Faculty of Sciences in Bordeaux. The topic of my DEA memory  was: "Sur le théorème d’Hörmander " (Complex analysis).

 

During the period 1976-1978, I have finished preparing my first doctoral thesis (thèse de 3ème cycle) whose subject was: "Calculfonctionnel, Fonctionnelles positives et Représentations " .

 

During the period 1979-1981, I worked at the Faculty of Sciences in Rabat as associate professor. The mathematical topic that I taught in collaboration with professor BRUNOT was: "The partial differential equations and distributions " .

 

I spent the academic year 1981-1982 in Orsay (France) for preparing the first steps of my state doctoral thesis. During this period, I did a serious research work that led to a publication entitled: "Sur le comportementasymptotique de certains caractères des groupes de Lie nilpotents " [seeC. R. Acad. Sci. Paris, Ser. 1297 (1983), 521–523].

 

Then I went to the Faculty of Sciences in Nice to enroll officially for this doctoral thesis after I got the acceptance from professor FRANÇOIS ROUVIÈRE as my advisor. He welcomed me with open arms and I really found him not only competent great professor but also modest and very nice person.

For some familial reasons, I returned to Morocco and I continued working in my job teaching at the Faculty of Sciences Aïn Chock (Casablanca) while doing my research work under the supervision of professor F. ROUVIÈRE by correspondence between us via the ordinary post.

Finally, I got my state doctorate in Mathematics in 1988. My thesis has been successfully defended at the Faculty of  Sciences in Nice. Its topic was: "Les théorèmes de Paley-Wiener pour certains produits semi-directs de groupes et applications " .

 

 

Publications

A. Abouelaz,
Comportement asymptotique de certains caractères des groupes de Lie nilpotents, C. R. Acad. Sci. Paris, Ser. 1297 (1983), 521–523.  

 

A. Abouelaz et R. Daher,
Sur la transformation de Radon de la sphère, Bull. Soc. Math. France, 121  (no. 3) (1993), 353–382.

 

A. Abouelaz,
Transformation de Radon sur le groupe spécial orthogonal, Afr. Math. SerIII 6 (1996), 101–111.

A. Abouelaz,
Integral geometry in the sphere , Harmonic Analysis and Integral Geometry, Chapman & Hall Res. Notes Math. 422Boca Raton, FL, 2001, 83–125. (Proceedings of the 1st summer school of SAFI, Morocco, July 15-20, 1998).

 

A. Abouelaz and O. El Fourchi,
Horocyclic Radon transform on Damek-Ricci space, Bull. Polish. Acad. Sci. 49 (no. 2) (2001), 107–140.

 

A. Abouelaz and O. El Fourchi,
Spectral analysis on Damek-Ricci space, arXiv:math-ph/0207040v2 9 Aug 2002, 1–41.

 

A. Abouelaz,
The finite Radon transform, Afr. J. Math. Phys. 2(no. 2), 77–92. Article n° 0520, electronic only (2005).

 

A. Abouelaz and A. Ihsane,
Diophantine Integral Geometry, Mediterr. J. Math. Vol. 5 (no. 1) (2008), 77–99.

 

A. Abouelaz,
New inversion formula for discrete Radon transform on , Afr. J. Math. Phys. 6 (no. 1), 13–31. Article n° 0801, electroniconly (2008).

 

A. Abouelaz, E. C. Tarabusi and A. Ihsane,
Integral geometry on discrete Grassmannians in , Mediterr. J. Math. Vol. 6 (no. 3) (2009), 303–316.

 

A. Abouelaz,
Explicit inversion formula for the -Ray transform  in , Mediterr. J. Math. Vol. 7(no. 4) (2010), 523–538.

A. Abouelaz and A. Ihsane,
Integral geometry on discrete Grassmannians associated to , Integral Transforms and Special Functions, 21 (no .3) (2010), 197–220.

 

A. Abouelaz and F. Rouvière,
Radon transform on the torus, Mediterr. J. Math. Vol. 8 (no. 4) (2011), 463–471.

 

A. Abouelaz,
The d-plane Radon transform on the torus, Fractional Calculus and Applied Analysis, Vol. 14 , issue 2 (June 2011), 233–246.

 

A. Abouelaz and T. Kawazoe,
Nazarov type uncertainty inequality for Fourier series, Scientiae MathematicaeJaponicae, 75 (no. 2) (2012), 177-186 : e - 2012, 275–284.

 

A. Abouelaz and T. Kawazoe,
Characterization of some function spaces by the discrete Radon transform, Integral Transforms and Special Functions, Vol. 23  (no. 9) (2012), 627–637.

 

A. Abouelaz, R. Daher and M. El Hamma,
ON ESTIMATES FOR THE BESSEL TRANSFORM, Annales Mathematicae Silesianae27 (2013), 59–66.

 

A. Abouelaz, R. Daher and M. El Hamma,
GENERALIZATION OF TITCHMARCH’S THEOREM FOR THE JACOBI TRANSFORM, FACTA UNIVERSITATIS (NIS), Ser. Math. Inform. 28, No 1 (2013), 43–51.

 

A. Abouelaz, R. Daher and M. El Hamma,
Fourier transform of Dini-Lipschitz functions in the space , Romanian Journal of Mathematics and Computer Science, Vol. 3(2013), issue 1,  41–47.

 

A. Abouelaz and R. Daher,
Holomorphic extension of certain discrete functions on  and the related problems, To appear in Indian Journal of  Pure and Applied Mathematics.

 

A. Abouelaz, A. Ihsane  and  T. Kawazoe,
On  the Range  of   the Radon Transform on and the related Volberg’s Uncertainty  Principle, accepted for for publication in the Journal of Mathematics .