# New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics

@article{Dobrokhotov2013NewFF, title={New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics}, author={S. Yu. Dobrokhotov and George N. Makrakis and Vladimir Evgen'evich Nazaikinskii and T. Ya. Tudorovskii}, journal={Theoretical and Mathematical Physics}, year={2013}, volume={177}, pages={1579-1605} }

We suggest a new representation of Maslov’s canonical operator in a neighborhood of caustics using a special class of coordinate systems (eikonal coordinates) on Lagrangian manifolds. We present the results in the two-dimensional case and illustrate them with examples.

## 44 Citations

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