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# The Canonical Group of Transformations of a Gaussian or Hermitean Frame

Seminário do GFM
IIIUL, B2-01
2015-03-04 14:30 .. 15:30
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by Maurice de Gosson (Univ. Vienna)

We show that the lattice of any multidimensional Gaussian Gabor frame can be deformed using a Hamiltonian flow determined by the window, viewed as a stationary state of a certain Hamiltonian operator. Thus, to every such frame is intrinsically attached a canonical one-parameter group of symplectic transformations. We give applications to Gaussian and Germitean frames.