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
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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
Turkish CoHE Thesis Center URL
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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1
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1
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2
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