Semiclassical asymptotics for nonlocal equations

The talk deals with two situations: 1) Difference equations on a multidimensional lattice with a small step. 2) Differential equations with a small parameter multiplying the derivatives on a compact manifold with coefficients that include the action of a discrete group of translations. In both cases, a construction of semiclassical asymptotic solutions based on the Maslov canonical operator is presented.
This work was supported by the RFBR grant No. 21-51-12006
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