Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Kannaka, Kazuki
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211307
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Linear Independence of Generalized Poincaré Series for Anti-de Sitter 3-Manifolds. Kazuki Kannaka. SIGMA 17 (2021), 042, 15 pages

Let Γ be a discrete group acting properly discontinuously and isometrically on the three-dimensional anti-de Sitter space AdS³, and □ the Laplacian, which is a second-order hyperbolic differential operator. We study the linear independence of a family of generalized Poincaré series introduced by Kas...