Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics for equations with singularities in the characteristics. I. (Russian) Zbl 0484.35009 Izv. Akad. Nauk SSSR, Ser. Mat. 45, 1049-1087 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 35A30 Geometric theory, characteristics, transformations in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 47J05 Equations involving nonlinear operators (general) 70H15 Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics Keywords:formal asymptotic solution; wave front; quantization of the canonical transformations; sheaves of fast-oscillating functions; symplectic manifold; quantized Lagrange submanifolds; asymptotical representations of the Poisson algebras PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Izv. Akad. Nauk SSSR, Ser. Mat. 45, 1049--1087 (1981; Zbl 0484.35009)