ON THE MICROLOCAL STRUCTURE OF PSEUDODIFFERENTIAL OPERATORS

DOI10.1070/SM1987V056N02ABEH003049zbMath0609.35088OpenAlexW1993302943MaRDI QIDQ3749486

B. Yu. Sternin, Valentin V. Lychagin

Publication date: 1987

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1987v056n02abeh003049

zbMATH Keywords

Lie groupscontact transformationssymbolssmooth manifoldclassical pseudodifferential operatorselliptic Fourier integral operatormicrolocal classificationmicrolocal equivalentpolynomial hamiltonians

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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