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
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
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OpenCitations Citation Count
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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