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.
Gallier.Schur Complements and Applications, pages 431–437
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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.