Scattering on Riemannian Symmetric Spaces and Huygens Principle

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TitreScattering on Riemannian Symmetric Spaces and Huygens Principle
Type de publicationJournal Article
Year of Publication2018
AuteursSemenov-Tian-Shansky M
JournalREVIEWS IN MATHEMATICAL PHYSICS
Volume30
Pagination1840015
Date PublishedSEP
Type of ArticleReview
ISSN0129-055X
Résumé

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.

DOI10.1142/S0129055X18400159