The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.
@article{701594,
title = {Spectral theory of invariant operators, sharp inequalities, and representation theory},
booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1997},
pages = {[29]-54},
mrnumber = {MR1469020},
zbl = {0884.58100},
url = {http://dml.mathdoc.fr/item/701594}
}
Branson, Thomas. Spectral theory of invariant operators, sharp inequalities, and representation theory, dans Proceedings of the 16th Winter School "Geometry and Physics", GDML_Books, (1997), pp. [29]-54. http://gdmltest.u-ga.fr/item/701594/