Determinants of pseudodifferential operators and complex deformations of phase space
Determinants of pseudodifferential operators and complex deformations of phase space
Consider an h-pseudodifferential operator, whose symbol p extends holomorphically to a tubular neighborhood of the real phase space and converges sufficiently fast to 1, so that the determinant is welldefined.We show that the logarithm of the modulus of this determinant is bounded by (2πh) -n (I(Λ, p) + o(1)), h …