Dr. Ahmed Sebbar
Professor
Schmid College of Science and Technology; Mathematics
Office Location:
Keck Center for Science and Engineering 362
Email: sebbar@chapman.edu
Biography
Education
1978-1980
PhD in Mathematics, Bordeaux University
1976-1977
Master in pure Mathematics, Bordeaux University
1975-1976
B.S. in Mathematics, Mohamed V University, Rabat Morocco.
Research Interests
The research interests of Dr.Sebbar center essentially around the geometric theory of functions. This includes the complex analysis of planar domains and their links to modular forms through uniformisation and to some aspects of Number theory. Another research subject concerns Groups action on hyperbolic spaces in connection with Frobenius determinant and representation theory.
Keywords
Green’s functions, Bergman kernel, Heat equation, Modular forms, infinite order differential operators, Frobenius determinant.
Recent Creative, Scholarly Work and Publications
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Mehler’s formula, Gouy’s phase shift, to appear Conf ´erence Internationale des Math ´ematiques et leur Didactique
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A Zeta function for multi complex algebra (with D.C. Struppa, A. Vajiac, M. Vajiac)
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Arithmetic and analysis of the series $\displaystyle \sum_{n=1}^{\infty} \frac{1}{n} \sin \frac{x}{n}, Part II$.
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Circulant matrices and Quantum Mechanics, under review
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Vieta's formula, the Fabius function and the partition function
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Pseudo-differential operators on the circle and Bernoulli polynomials, Quantum Studies
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Infinite products, Congruent numbers, Grothendieck Conference, Mathematics, Logic, and Philosophy,
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Weierstrass functions, Probability and Statistical Mechanics, Notes of course (180 pages, to be continued this year)
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On a special CM-Algebra and Zeta functions (170 pages)