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44 p, 361.4 KB An accuracy improvement in Egorov's Theorem / Drumond Silva, Jorge (Instituto Superior Técnico (Lisboa, Portugal). Departamento de Matemática)
We prove that the theorem of Egorov, on the canonical transformation of symbols of pseudodifferential operators conjugated by Fourier integral operators, can be sharpened. The main result is that the statement of Egorov's theorem remains true if, instead of just considering the principal symbols in Sm/Sm−1 for the pseudodifferential operators, one uses refined principal symbols in Sm/Sm−2, which for classical operators correspond simply to the principal plus the subprincipal symbol, and can generally be regarded as the first two terms of its Weyl symbol expansion: we call it the principal Weyl symbol of the pseudodifferential operator. [...]
2007 - 10.5565/PUBLMAT_51107_05
Publicacions matemàtiques, V. 51 n. 1 (2007) p. 77-120  

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