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On the absolutely continuous spectrum of the Laplace–Beltrami operator acting on p ‐forms for a class of warped product metrics |
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| Authors: | Francesca Antoci |
| Abstract: | We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for p ‐forms for the class of warped product metrics dσ 2 = y 2a dy 2 + y 2b dθ 2equation/tex2gif-inf-1.gif, where y is a boundary defining function on the unit ball B (0, 1) in ?N . (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Absolutely continuous spectrum warped product Hodge Laplacian |