Vignon S Oussa VOUSSA

 I have just recently defended my PhD. My area of research is Abstract Harmonic Analysis. More precisely, I am interested in representation theory of Lie groups such as nilpotent, and solvable Lie groups. I am also interested in the construction of wavelets, and frames, especially on non commutative nilpotent Lie groups, and exponential solvable Lie groups. 

Teaching

If you are interested in my teaching, please visit my site 

Publications

• Vignon S. Oussa, Bandlimited Spaces on Some 2-step Nilpotent Lie Groups With One Parseval Frame Generator. Submitted
• Brad Currey, Vignon Oussa, Admissibility for Monomial Representations of Exponential Lie Groups. Journal of Lie Theory 22 (2012), No. 2, 481487.
• U. Ledzewicz,  H. Schaettler and V. Oussa*, Model for cancer therapy with penalty on the cost of treatment, International Journal of Pure and Applied Mathematics, Vol.51, (2009) in press.
• U. Ledzewicz,  H. Schaettler and V. Oussa*, Optimal Solutions of a Model of Tumor Anti-Angiogenesis with a Penalty on the Cost of Treatment, Applicationes Mathematicae, accepted
  

• NilCrossSectionGUI.8.16 I wrote this software to compute the cross-section for coadjoint action for Nilpotent Lie groups. The main difference with the earlier version is that this software comes with a graphical user interface. However, the user will still need Mathematica application in order do run the program. Download here
• Jump indices appear in representation theory of Solvable Lie groups. They are used to construct parameters for the irreducible representations for this class of groups. I wrote these fairly simple codes in Mathematica to compute them. For any one who wants to learn about jump indices, please read the famous book by  L. Corwin and P. Greenleaf, titled “Representations of nilpotent Lie groupes and their applications. Part 1: Basic theory and examples”, Cambridge Studies in Advanced Mathematics, 18 (1990).
  Here is a testing pdf file jumpindices
• Discrete Wavelets.nb  outputs discrete wavelets on the discrete group Zn