Transformations between isospectral membranes yield conformal maps |
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Authors: | Gottlieb H P W |
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Institution: |
School of Science, Griffith University, Nathan, Queensland 4111, Australia
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Abstract: | ** Email: H.Gottlieb{at}griffith.edu.au In two dimensions, contrary to the known situation that a conformaltransformation yields isospectral density functions for vibratingmembranes, it is shown that a coordinate transformation leadingto isospectral densities must be conformal. |
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Keywords: | isospectral membranes conformal maps |
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