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.
Helffer.Th ´eorie spectrale pour des op´erateurs globalement elliptiques, volume 112 ofAst´erisque
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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.