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. 

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