Abstract
We consider several selfadjoint h-pseudodifferential operators which commute to each other. Let be a regular value of the principal symbol of A(h) and K be a compact neighborhood of E. Under suitable assumptions the joint spectrum of A(h) in K consists of finitely many joint eigenvalues . Let ζ be a smooth function in Rk having a Fourier transform with compact support. The aim of this article is to investigate the semiclassical asymptotics of the trace in terms of the periodic orbits of the joint Hamiltoian flow of a0 lying on the energy surface .
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