Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature

We perform global and local analysis of oscillatory and damped spherically symmetric fundamental solutions for Helmholtz operators (−Δ±β²) in d-dimensional, R-radius hyperbolic HᵈR and hyperspherical SᵈR geometry, which represent Riemannian manifolds with positive constant and negative constant sect...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Cohl, H.S., Dang, T.H., Dunster, T.M.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209867
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature / H.S. Cohl, T.H. Dang, T.M. Dunster // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine