ON THE DERIVATION OF EXPLICIT FORMULAE FOR SOLUTIONS OF THE WAVE EQUATION IN HYPERBOLIC SPACE
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Date
2013
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Publisher
Hacettepe Univ, Fac Sci
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Abstract
We offer a new approach to solving the initial value problem for the wave equation in hyperbolic space in arbitrary dimensions. Our approach is based on the spectral analysis of the Laplace-Beltrami operator in hyperbolic space and some structural formulae for rapidly decreasing functions of this operator.
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Keywords
Hyperbolic space, Laplace-Beltrami operator, wave equation, spectral projection
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Volume
42
Issue
4
Start Page
395
End Page
409
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