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math-ph2013★ 28 cited
New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics
S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii +1
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian m…
math-ph2013★ 7 cited
Fourier integrals and a new representation of Maslov's canonical operator near caustics
S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian m…