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- W2950886369 abstract "The construction of a Laplacian on a class of fractals which includes the Sierpinski gasket ({bf $SG$}) has given rise to an intensive research on analysis on fractals. For instance, a complete theory of polynomials and power series on $SG$ has been developed by one of us and his coauthors. We build on this body of work to construct certain analogs of classical orthogonal polynomials (OP) on $SG$. In particular, we investigate key properties of these OP on $SG$, including a three-term recursion formula and the asymptotics of the coefficients appearing in this recursion. Moreover, we develop numerical tools that allow us to graph a number of these OP. Finally, we use these numerical tools to investigate the structure of the zero and the nodal sets of these polynomials." @default.
- W2950886369 created "2019-06-27" @default.
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- W2950886369 date "2011-10-07" @default.
- W2950886369 modified "2023-09-23" @default.
- W2950886369 title "Orthogonal Polynomials on the Sierpinski Gasket" @default.
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