Некоммутативные вычеты и асимптотики следов операторов, ассоциированных с метаплектической группой

We consider the operator algebra generated by pseudodifferential operators in Rn and quantizations of isometric affine canonical transformations. For elements in this algebra, we study regularized traces defined in terms of zeta-regularizations. We construct analogues of the well-known Wodzicki residue on this operator algebra. The results were obtained in a joint work with Elmar Schrohe (Hannover). The work was partially supported by RFBR, project Nr. 21-51-12006.