  The Hermite functions are an orthonormalbasis of the space of square
integrable functions with favourable approximation properties. Allowing for a
flexible localization in position and momentum, the Hagedorn wavepackets
generalize the Hermite functions also to several dimensions. Using Hagedorn's
raising and lowering operators, we derive explicit formulas and recurrence
relations for the Wigner and FBI transform of the wavepackets and show their
relation to the Laguerre polyomials.
