On the Functions of Two Commuting Laplace-Beltrami Operators in Hyperbolic Space
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Date
2014
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Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
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Abstract
We describe the structure of arbitrary rapidly decreasing two-variable function of two commuting Laplace-Beltrami operators in the product of two many-dimensional hyperbolic spaces showing that the function of the commuting Laplace-Beltrami operators is an integral operator and giving an explicit formula for its kernel.
Description
Keywords
quantum mechanics, hyperbolic space, commuting Laplace-Beltrami operators, joint spectral resolution, Legendre function, hyperbolic space, Spectral problems; spectral geometry; scattering theory on manifolds, quantum mechanics, commuting Laplace-Beltrami operators, joint spectral resolution, Quantum measurement theory, state operations, state preparations, Legendre function, Selfadjoint operator theory in quantum theory, including spectral analysis
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
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N/A
Source
Reports on Mathematical Physics
Volume
73
Issue
3
Start Page
281
End Page
298
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Scopus : 0
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