The trace formula for transversally elliptic operators on Riemannian foliations
نویسنده
چکیده
The main goal of the paper is to generalize the Duistermaat-Guillemin trace formula to the case of transversally elliptic operators on a compact foliated manifold. First, let us recall briefly the setting of the classical formula. Let P be a positive self-adjoint elliptic pseudodifferential operator of order one on a closed manifold M (for example, P = √ ∆, where ∆ is the Laplace-Beltrami operator of a Riemannian metric on M). For any function f ∈ C c (R), the operator Uf = ∫
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