The metaplectic semigroup Mp+(d,C) is constructed and analyzed via symplectic and operator methods, yielding generators, polar decompositions, and applications to boundedness of propagators for complex quadratic Hamiltonians on modulation spaces.
Lerner.Metrics on the phase space and non-selfadjoint pseudo-differential operators, volume 3 ofPseudo-Differential Op- erators
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The metaplectic semigroup and its applications to time-frequency analysis and evolution operators
The metaplectic semigroup Mp+(d,C) is constructed and analyzed via symplectic and operator methods, yielding generators, polar decompositions, and applications to boundedness of propagators for complex quadratic Hamiltonians on modulation spaces.