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arxiv: 1307.2292 · v1 · pith:N4W4KZFEnew · submitted 2013-07-08 · 🧮 math-ph · math.AP· math.MP

Fourier integrals and a new representation of Maslov's canonical operator near caustics

S. Yu. Dobrokhotov (1 , 2) , G. Makrakis (3 , 4) , V. E. Nazaikinskii (1 , 2) ((1) A. Ishlinsky Institute for Problems in Mechanics , Moscow , Russia
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(2) Moscow Institute of Physics Technology Dolgoprudny Moscow District (3) Department of Applied Mathematics University of Crete Heraklion Crete Greece (4) Institute of Applied Computational Mathematics Foundation for Research Technology-Hellas Greece)
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keywords canonicalcausticsmaslovoperatorrepresentationclasscoordinatecoordinates
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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 manifolds.

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