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Hyperfunctions in hyperbolic geometry.
- Source :
-
Complex Variables & Elliptic Equations . Nov2014, Vol. 59 Issue 11, p1559-1571. 13p. - Publication Year :
- 2014
-
Abstract
- In the framework of real hyperbolic geometry, this review note begins with the Helgason correspondence induced by the Poisson transform between eigenfunctions of the Laplace–Beltrami operator on the hyperbolic spaceand hyperfunctions on its boundary at infinity. Focused on the scattering operator for real hyperbolic manifolds of finite geometry, discussion is given on the two different constructions (pseudo-differential calculus for degenerate operators and harmonic analysis for the conformal group) and some applications (Selberg zeta functions, resonances and scattering poles). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17476933
- Volume :
- 59
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Complex Variables & Elliptic Equations
- Publication Type :
- Academic Journal
- Accession number :
- 97315950
- Full Text :
- https://doi.org/10.1080/17476933.2013.805412