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math.SP2001
Bohr-Sommerfeld quantization condition for non-selfadjoint operators in dimension 2
A. Melin, J. Sjoestrand
For a class of non-selfadjoint h-pseudodifferential operators in dimension 2, we determine all eigenvalues in an h-independent domain in the complex plane and show that they are gi…
math.SP2001
Determinants of pseudodifferential operators and complex deformations of phase space
A. Melin, J. Sjoestrand
Consider an h-pseudodifferential operator P, whose symbol extends holomorphically to a tubular neighborhood of the real phase space and converges sufficiently fast to 1, so that th…