2 citations to https://www.mathnet.ru/rus/im329
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Lescure J.-M., Vassout S., “Fourier Integral Operators on Lie Groupoids”, Adv. Math., 320 (2017), 391–450
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Battisti U., Coriasco S., Schrohe E., “Fourier Integral Operators and the Index of Symplectomorphisms on Manifolds With Boundary”, J. Funct. Anal., 269:11 (2015), 3528–3574