What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals

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Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket

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.

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 1999

ISSN: 0022-1236

DOI: 10.1006/jfan.1999.3431