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

• 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
• 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.

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...