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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4

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

Gusein Sh GUSEİNOV
Sayfa
6456–8540
Yayın Tarihi
2022-10-18
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

GUSEİNOV, G. S. (2022). On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 4, 6456–8540. https://ajindex.com/articles/530394

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Kaynakça (5)

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  5. 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.