On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space
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Date
2015
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Publisher
Taylor & Francis Ltd
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Abstract
We describe the spectral projection of the Laplace-Beltrami operator in n-dimensional hyperbolic space by studying its resolvent as an analytic operator-valued function and applying the technique of contour integration. As a result an integral formula is established for the associated Legendre function
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Keywords
hyperbolic space, Laplace-Beltrami operator, spectral projection, eigenfunction expansion, associated Legendre function
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Q2
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Volume
60
Issue
10
Start Page
1309
End Page
1326