Pure point spectrum for the Laplacian on unbounded nested fractals (Q1572907)
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scientific article; zbMATH DE number 1484770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pure point spectrum for the Laplacian on unbounded nested fractals |
scientific article; zbMATH DE number 1484770 |
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Pure point spectrum for the Laplacian on unbounded nested fractals (English)
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6 August 2000
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The author considers the Laplace operator on unbounded nested fractals which consist of self-similar and finitely ramified sets (invariant for a large group of symmetries) and shows that the set of Neumann-Dirichlet eigenvalues leads to pure-point spectrum with compactly supported eigenfunctions. The main results are given in three theorems which are proven by using only symmetry properties.
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unbounded nested fractals
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self-similar
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finitely ramified sets
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Neumann-Dirichlet eigenvalues
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0.95897233
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0.9183415
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0.8997805
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0.8987498
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0.89762175
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0.8944206
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