Gradients of Laplacian eigenfunctions on the Sierpinski gasket
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- by Jessica L. DeGrado, Luke G. Rogers and Robert S. Strichartz PDF
- Proc. Amer. Math. Soc. 137 (2009), 531-540 Request permission
Abstract:
We use spectral decimation to provide formulae for computing the harmonic tangents and gradients of Laplacian eigenfunctions on the Sierpinski Gasket. These formulae are given in terms of special functions that are defined as infinite products.References
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Additional Information
- Jessica L. DeGrado
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853-4201
- Email: jld69@cornell.edu
- Luke G. Rogers
- Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269-3009
- MR Author ID: 785199
- Email: rogers@math.uconn.edu
- Robert S. Strichartz
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853-4201
- Email: str@math.cornell.edu
- Received by editor(s): November 14, 2007
- Published electronically: October 6, 2008
- Additional Notes: The research of the first author was supported by the National Science Foundation through the Research Experiences for Undergraduates (REU) Program at Cornell University.
The research of the third author was supported in part by the National Science Foundation, Grant DMS-0652440. - Communicated by: Michael T. Lacey
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 531-540
- MSC (2000): Primary 28A80; Secondary 33E30
- DOI: https://doi.org/10.1090/S0002-9939-08-09711-6
- MathSciNet review: 2448573