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Green functions and eigenfunction expansions for the square of the Laplace–Beltrami operator on plane domains

✍ Scribed by M. Engliš; J. Peetre

Publisher
Springer
Year
2002
Tongue
English
Weight
305 KB
Volume
181
Category
Article
ISSN
0373-3114

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On the absolutely continuous spectrum of
On the absolutely continuous spectrum of the Laplace–Beltrami operator acting on p -forms for a class of warped product metrics
✍ Francesca Antoci 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 270 KB 👁 1 views

## 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,