Cusp closing in rank one symmetric spaces
โ Scribed by Christoph Hummel; Viktor Schroeder
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- English
- Weight
- 370 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0020-9910
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๐ SIMILAR VOLUMES
If f # L 1 (d+) is harmonic in the space GรK, where + is a radial measure with +(GรK)=1, we have, by the mean value property f = f V +. Conversely, does this mean value property imply that f is harmonic ? In this paper we give a new and natural proof of a result obtained by P. Ahern, A. Flores, W. R
Let X = G/K be a rank-one Riemannian symmetric space of the noncompact type and letbe the Laplace-Beltrami operator on X. We show that the resolvent operator R(z) of can be meromorphically continued across the spectrum and explicitly determine the poles, i.e. the resonances. Further we describe the