Description of the Structure of Arbitrary Functions of the Laplace-Beltrami Operator in Hyperbolic Space
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Average
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Average
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Average
Abstract
We describe the structure of an arbitrary rapidly decreasing function of the Laplace-Beltrami operator in n-dimensional hyperbolic space showing that the function of the Laplace-Beltrami operator is an integral operator and giving an explicit formula for its kernel.
Description
Keywords
hyperbolic space, Laplace-Beltrami operator, spectral decomposition, Legendre function
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
3
Source
Integral Transforms and Special Functions
Volume
24
Issue
8
Start Page
649
End Page
663
PlumX Metrics
Citations
CrossRef : 2
Scopus : 3
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