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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 4

On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space

Gusein Sh. Guseinov
Sayfa
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Yayın Tarihi
2013-04-01
DOI
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Özet

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Abstract

We offer a new approach to solving the initial value problem for thewave 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 rapidlydecreasing functions of this operator.

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Bu Makaleye Atıf Yap

Guseinov, G. S. (2013). On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 4. https://ajindex.com/articles/1403467

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Kaynakça (4)

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  4. Venkov, A. B. Expansions in automorphic eigenfunctions of the Laplace-Beltrami operator in classical symmetric spaces of rank one and the Selberg trace formula, Proc. Steklov Inst. Math. 125, 6–55, 1973.