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ON THE RESOLVENT OF THE LAPLACE–BELTRAMI OPERATOR IN HYPERBOLIC SPACE

  • GUSEIN SH. GUSEINOV (a1)
Abstract

In this paper, a detailed description of the resolvent of the Laplace–Beltrami operator in $n$ -dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green’s function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out.

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© 2015 Australian Mathematical Publishing Association Inc. 
References
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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