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Gradients of Laplacian eigenfunctions on the Sierpinski gasket

2008; American Mathematical Society; Volume: 137; Issue: 02 Linguagem: Inglês

10.1090/s0002-9939-08-09711-6

1088-6826

Jessica L. DeGrado, Luke G. Rogers, Robert S. Strichartz,

Mathematical Analysis and Transform Methods

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.