AWMA virtual Seminar n°6

AWMA virtual Seminar n°6

The speaker, Selma Negzaoui is an Associate professor at Monastir University, Tunisia. She has been president of the Tunisian Women Mathematicians’ Association since 2018 and member of the Tunisian Mathematical Society since 2010.

During her university studies she was been usually major in her promotion, she held a studies grant at the Ecole Normale Supérieure ENS of Tunis. She passed the extern French competition Agrégation in mathematics in 2005. Since then she began her teaching carrier as a lecturer at Preparatory institutes for engeneering studies at Gabes University and thereafter at Monastir University.

In 2013, she get her PhD thesis entitled « Harmonic analysis associated to Bessel- Struve operator » from Tunis Elmanar University, under the supervision of professor Lotfi Kamoun. Her research interests focus mainly in Fourier analysis, harmonic analysis, and special functions.


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Date Thursday,  March 04, 2021
Time 14:00-15:00 (UTC)
Speaker Prof. Negzaoui SELMA
Affiliation  Université de Monastir
Domain Harmonic Analysis
Title A new product formula involving Bessel functions
Abstract Since their discovery in 1732 by the mathematician Daniel Bernoulli, the Bessel functions developed by the astronomer Friedrich Wilhelm Bessel, have continued to serve as the basis for the description of several scientific phenomena. It is in this context that the mathematics relating to these functions continued to develop. In this talk I will present the results obtained recently in a jointly work with M.A Boubatra and M. Sifi when we considered the normalized Bessel function and we found an integral representation of the product of two mixed Bessel functions with index of step an integer. It has explicit kernel invoking Gegenbauer polynomials. This allows to establish a product formula for the generalized Hankel function which is the kernel of a generalized Fourier transform arising from the Dunkl theory. As application, we define and study a generalized translation operator and a generalized convolution structure.



Thursday, March 4, 2021