A discrete leading symbol and spectral asymptotics for natural differential operators

Details A discrete leading symbol and spectral asymptotics for natural differential operators A discrete leading symbol and spectral asymptotics for natural differential operators

2001-09-24

arxiv.org/abs/hep-th/0109181v1

J.Funct.Anal. 190 (2002) 292-337

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, LaTeX

Scientific paper

We initiate a systematic study of natural differential operators in Riemannian geometry whose leading symbols are not of Laplace type. In particular, we define a discrete leading symbol for such operators which may be computed pointwise, or from spectral asymptotics. We indicate how this can be applied to the computation of another kind of spectral asymptotics, namely asymptotic expansions of fundamental solutions, and to the computation of conformally covariant operators.

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