Hyperbolic Analysis and Geometry

Description

Study of the Laplace Operator - of the resolvent kernel and estimates of the heat kernel on hyperbolic space and Kleinian groups - Rudiments of the theory of Einstein series for Kleinian groups.

Course Coordinators

Suggested References

  1. Davies E.B. and N. Mandouvalos (1988). Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups. Proc. London Math. Soc. 57 (No 3): 182-208
  2. Davies E.B. and N. Mandouvalos (1987). Heat Kernel Bounds on Manifolds with Cusps. J. Funct. Anal. 75 (No 2): 311-322
  3. Mandouvalos N. (1988). Spectral Theory and Eisenstein Series for Kleinian Groups. Proc. London Math. Soc. 57 (No 3): 209-238
  4. Mandouvalos N. (1989). Scattering Operator, Eisenstein Series, Inner Product Formula and “Maass-Selberg” relations for Kleinian Groups. Memoirs Amer. Math. Soc. 400
Semester: 
Credit Units (ECTS): 
10.0
ID: 
B12, 0648
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