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A quantitative version of Steinhaus’ theorem for compact, connected, rank-one symmetric spaces

✍ Scribed by Oliveira Filho, Fernando Mário; Vallentin, Frank


Book ID
121483912
Publisher
Springer
Year
2012
Tongue
English
Weight
239 KB
Volume
167
Category
Article
ISSN
0046-5755

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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