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

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автор: Kannaka, Kazuki
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211307
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...