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The reduction square root and perturbation for a class of strongly continuous operator families

✍ Scribed by Chuang Chen; Xiao Qiu Song; Hui Min Li


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
202 KB
Volume
26
Category
Article
ISSN
1439-7617

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## 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__ ^2__a__^ __dy__ ^2^ + __y__ ^2__b__^ __dθ__ ^2^, where __y__ is a boundary defining function on the unit ball __B__ (0,