Scattering on Riemannian symmetric spaces and Huygens principle

Abstract : The famous paper by L. D. Faddeev and B. S. Pavlov (1972) on automorphic wave equation explored a highly romantic link between Scattering Theory (in the sense of Lax and Phillips) and Riemann hypothesis. An attempt to generalize this approach to general semisimple Lie groups leads to an interesting evolution system with multidimensional time explored by the author in 1976. In the present paper, we compare this system with a simpler one defined for zero curvature symmetric spaces and show that the Huygens principle for this system in the curved space holds if and only if it holds in the zero curvature limit.
Document type :
Book sections
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01997545
Contributor : Imb - Université de Bourgogne <>
Submitted on : Tuesday, January 29, 2019 - 10:13:59 AM
Last modification on : Wednesday, January 30, 2019 - 1:26:10 AM

Identifiers

Citation

Michael Semenov-Tian-Shansky. Scattering on Riemannian symmetric spaces and Huygens principle. Mo-Lin Ge; Antti J. Niemi; Kok Khoo Phua; Leon A. Takhtajan. Ludwig Faddeev Memorial Volume : A Life in Mathematical Physics, World Sci. Publ., pp.459-480, 2018, 978-981-3233-76-8. ⟨10.1142/9789813233867_0023⟩. ⟨hal-01997545⟩

Share

Metrics

Record views

31