We first give a short survey on the methods of Microlocal Analysis. In particular we recall some basic facts concerning the theory of pseudo-differential operators. We then present two applications. We first discuss lower bounds for operators with multiple characteristics. Then we give a new formula for the composition of Wick operators.
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Wong MW., 2002, Oper. Theory Adv. Appl., DOI 10.1007/978-3-0348-8217-0