Isospectral circular membranes
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Gottlieb, Hans
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Date
2004
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Abstract
A prescription for finding the densities of circular membranes which are isospectral to a uniform circular membrane is extended to cover isospectrality to any circular membrane density, thereby also revealing the underlying group-theoretical structure which is further elucidated. Membranes isospectral to radial-density membranes no longer possess the radial symmetry, and some examples are discussed.
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Inverse Problems
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20
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1
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© 2004 Institute of Physics. Reproduced in accordance with the copyright policy of the publisher. This journal is available online – use hypertext links.
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Subject
Pure Mathematics
Applied Mathematics
Mathematical Physics