Luigi Rodino - Microlocal and Global Analysis, ...
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Luigi Rodino - Microlocal and Global Analysis, Interactions with Geometry
Non-commutative residue for metaplectic operators.
The non-commutative residue was introduced by Manin in connection with the algebraic study of the
KdV solutions. The result of Manin was extended by Wodzicki to pseudo-dierential operators and by Guillemin to
Fourier integral operators. We compute the non-commutative residue for metaplectic operators, obtaining for them
an explicit expression of the result of Guillemin.