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Session S05 - Advances on Spaces of Non-absolutely Integrable Functions and Related Applications

Monday, July 12, 12:00 ~ 12:30 UTC-3

Sobolev Orthogonal polynomials on the Sierpinski gasket ($SG$)

Kasso Okoudjou

Tufts University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk I will introduce a theory of Sobolev orthogonal polynomials on $SG$. These orthogonal polynomials arise through the Gram-Schmidt orthogonalisation process applied on the set of monomials on $SG$ using several notions of a Sobolev inner products. After establishing some recurrence relations for these orthogonal polynomials, we give estimates for their $L^2, L^{\infty}$ and Sobolev norms, and study their asymptotic behaviour.

Joint work with Q. Jiang, T. Lan, R. Strichartz, S. Sule, S. Venkat, and and X. Wang.

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