Dr. Issam Louhichi | American University of Sharjah
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Profile

College / Department

College of Arts and Sciences
Department of Mathematics and Statistics

Teaching areas

All undergraduate Mathematics courses. Graduate courses in Analysis.

Research areas

Holomorphic spaces and their operators. In particular, Toeplitz operators on the Bergman space.

Education

PhD, Phd In Pure Mathematics, University of Bordeaux 1, France, 2005
MS, Msc In Pure Mathematics, University of Bordeaux 1, France, 2002

Professional experience

Associate Professor, Mathematics And Statistics, American University of Sharjah, Sharjah, United Arab Emirates, 2020 - Present
Assistant Professor, Mathematics And Statistics, American University of Sharjah, Sharjah, United Arab Emirates, 2014 - 2020
Assistant Professor, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia, 2008 - 2014
Visiting Assistant Professor, University of Toledo, Ohio, United States, 2006 - 2008
Postdoctoral Researcher, University Bordeaux 1, Bordeaux, France, 2005 - 2006

Memberships

International Society for Analysis, its Applications and Computation, ISAAC, International, The International Society for Analysis, its Applications and Computation (ISAAC) is a non-profit organization established in 1994 to promote and advance analysis, its applications, and its interaction with computation. Analysis is understood here in the best sense of the word, including differential equations, integral equations, functional analysis, and function theory., 29 July 2019

Contact

[email protected]
+971 6 515 4464

Dr. Issam Louhichi

Associate Professor
PhD, University of Bordeaux 1, France

Issam Louhichi's current research interests include holomorphic spaces and their operators, in particular Toeplitz operators. Before joining AUS, Dr. Louhichi held positions at King Fahd University of Petroleum and Minerals, Dhahran, KSA; University of Toledo, Ohio, USA; and University of Bordeaux 1, Talence, France. He has taught a wide range of pure mathematics courses at the undergraduate and graduate levels.

Publications

Yusuf Muhanna And Issam Louhichi. Analytic functions with hyperbolic range and Bohr's inequality
Aissa Bouhali And Issam Louhichi. Commutant of sum of two quasihomogeneous Toeplitz operators
Suheil Khuri, Issam Louhichi And Ali Sayfy. An Approach for the Approximate Solution of the Fractional Troesch's Problem, Https://ieeexplore.ieee.org/xpl/conhome/10152864/proceeding
Suheil Khuri, Issam Louhichi And Ali Saifi. Fractional Bratu’s Problem: Novel Approach, International Journal Of Applied And Computational Mathematics, 20 September 2023
Abdel Rahman Yousef, Issam Louhichi And Suhiel Khuri. A NUMERICAL INVESTIGATION OF THE BUCKLING OF DOUBLY CLAMPED NANO-ACTUATORS GOVERNED BY AN INTEGRO-DIFFERENTIAL EQUATION, 2022
Issam Louhichi, Suheel Khouri And Abdel Rahman Yousef. A numerical investigation of the buckling of doubly clamped nano-actuators governed by an integro-differential equation, Journal Of Mathematical Sciences
Suheel Khouri, Issam Louhichi And Ali Sayfy. Fractional Bratu’s problem: a novel approach, International Journal Of Applied And Computational Mathematics
Issam Louhichi, Aissa Bouhali And Zohra Bendaoud. On the powers of quasihomogeneous Toeplitz operators, Czechoslovak Mathematical Journal, December 2021
Suheel Khouri And Issam Louhichi. A new fixed point iteration method for nonlinear third-order BVPs, International Journal Of Computer Mathematics, July (3rd Quarter/Summer) 2021
Issam Louhichi, Suheel Khouri And Abdel Rahman Yousef. A numerical investigation of the buckling of doubly clamped nano-actuators governed by an integro-differential equation
Issam Louhichi, Aissa Bouhali And Zohra Bendaoud. On the powers of quasihomogeneous Toeplitz operators, Czechoslovak Mathematical Journal
Issam Louhichi, Suheel Khouri And Ali Saifi. Convergence and implementation of a fixed-point iterative scheme for the numerical solution of fourth-order BVPs, Journal Of Numerical Analysis, Industrial And Applied Mathematics (jnaiam)
Reem Assadi, Suheel Khouri And Issam Louhichi. Numerical solution of fractional Bratu–type BVPs: a generalized variational iteration approach, International Journal Of Numerical Methods For Heat And Fluid Flow, 12 January (1st Quarter/Winter) 2021
Issam Louhichi And Suheel Khouri. A new fixed point iteration method for nonlinear third-order BVPs, International Journal Of Computer Mathematics
Alexey Karapetyants And Issam Louhichi. Fractional integrodifferentiation and Toeplitz operators with vertical symbols, 1 January (1st Quarter/Winter) 2020
Hashem Al Sabi And Issam Louhichi. On the commutativity of Toeplitz operators with harmonic symbols, Operators And Matrices, 1 December 2018
Suheel Khouri And Issam Louhichi. A novel Ishikawa–Green's fixed point scheme for the solution of BVPs, Applied Mathematics Letters, 1 August 2018
S. Khuri And Issam Louhichi. A novel Ishikawa–Green's fixed point scheme for the solution of BVPs, Applied Mathematics Letters, 1 August 2018
Yusuf Muhanna And Issam Louhichi. Area distortion under some orientation preserving harmonic maps, Journal Of Analysis, 1 June 2018
Mohamed Khamsi And Issam Louhichi. A convergence result on random products of mappings in metric spaces, Fixed Point Theory And Applications, 1 December 2012
Issam Louhichi And Lova Zakariasy. Quasihomogeneous Toeplitz operators on the harmonic Bergman space, Archiv Der Mathematik, 1 January (1st Quarter/Winter) 2012
Issam Louhichi And Nagisetti Rao. Roots of Toeplitz operators on the Bergman space, Pacific Journal Of Mathematics, 1 October (4th Quarter/Autumn) 2011
Issam Louhichi, Nagisetti Rao And Abdel Rahman Yousef. Two Questions on Products of Toeplitz Operators on the Bergman Space, Complex Analysis And Operator Theory, 2009
Issam Louhichi, Nagisetti Rao And Abdel Yousef. Two questions on products of Toeplitz operators on the Bergman space, Complex Analysis And Operator Theory, 1 December 2009
Issam Louhichi And N. Rao. Bicommutants of Toeplitz operators, Archiv Der Mathematik, 1 September 2008
Issam Louhichi And Anders Olofsson. Characterizations of Bergman space Toeplitz operators with harmonic symbols, Journal Fur Die Reine Und Angewandte Mathematik, 1 April (2nd Quarter/Spring) 2008
Issam Louhichi And Zeljko Cuckovic. Finite rank commutators and semicommutators of Toeplitz operators with quasihomogeneous symbols, Complex Analysis And Operator Theory, 1 January (1st Quarter/Winter) 2008
Issam Louhichi. Powers and roots of Toeplitz operators, Proceedings Of The American Mathematical Society, 1 May 2007
Issam Louhichi, Elizabeth Strouse And Lova Zakariasy. Products of Toeplitz operators on the Bergman space, Integral Equations And Operator Theory, 1 October (4th Quarter/Autumn) 2005
Issam Louhichi And Lova Zakariasy. On Toeplitz operators with quasihomogeneous symbols, Archiv Der Mathematik, 1 September 2005
Issam Louhichi And Lova Zakariasy. On Toeplitz operators with quasihomogeneous symbols, Archiv Der Mathematik, 1 September 2005

Conference Presentations

Commutant Toeplitz operators, Uae Math Day 2024, 2 March 2024
On the commutativity of Toeplitz operators, The First Sharjah International Conference On Mathematical Sciences, 7 November 2023
On the commutativity of Toeplitz operators, Otha Spring 2023, 22 April 2023
On powers of quasihomogeneous Toeplitz operators, Uae Math Day 2023, 4 March 2023
On powers of quasihomogeneousToeplitz operators, Modern Methods, Problems And Applications Of Operator Theory And Harmonic Analysis X, August 2021
Powers of quasihomogeneous Toeplitz operators, Icms'20, 8 February 2020
Toeplitz operators on the Bergman space of the unit disk, Caucasian Mathematics Conference, 26 August 2019
Product of Toeplitz operators on the Bergman Space, Otha 2019, 22 April 2019
On the Coomutativity of Toeplitz Operators on the Bergman Space, Jemte 2018, 24 July 2018

Grants and sponsorships

Grant, FRG19-S-S119, AUS, 1 June 2019 - 31 August 2021

Awards and Honors

First Year Professor Spotlights, AUS, Several AUS-ers have nominated me to be featured on our FYE Instagram account. https://www.instagram.com/ausfye/, 15 September 2021
FRG19-S-S119, AUS, 2019 Faculty Research Grant, 1 June 2019

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