On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
Green Open Access
No
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No
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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
Description
Keywords
hyperbolic space, Laplace-Beltrami operator, spectral projection, eigenfunction expansion, associated Legendre function
Fields of Science
0301 basic medicine, 03 medical and health sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
1
Source
Complex Variables and Elliptic Equations
Volume
60
Issue
10
Start Page
1309
End Page
1326
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Scopus : 1
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