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We first introduce the notion of microdifferential operators of WKB type and then develop
their exact WKB analysis using microlocal analysis; a recursive way of constructing a WKB
solution for such an operator is given through the symbol calculus of microdifferential
operators, and their local structure near their turning points is discussed by a
Weierstrass-type division theorem for such operators. A detailed study of the Berk-Book
equation is given in Appendix.
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