Title

Asymptotics of the d'alembertian with potential on a pseudo-riemannian manifold

Document Type

Article

Publication Date

1-1-1999

Abstract

Let □ be the Laplace-d'Alembert operator on a pseudo-Riemannian manifold (M, g). We derive a series expansion for the fundamental solution G(x, y) of □ + H, H ∈ C∞(M), which behaves well under various symmetric space dualities. The qualitative properties of this expansion were used in our paper in Invent. Math. 129 (1997), 63-74, to show that the property of vanishing logarithmic term for G(x, y) is preserved under these dualities. ©1999 American Mathematical Society.

Publication Source (Journal or Book title)

Proceedings of the American Mathematical Society

First Page

1339

Last Page

1345

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