An Amalgam Balian Low theorem for symplectic lattices of rational density

CARLOS CABRELLI; URSULA MOLTER; PFANDER, GÖTZ

Washington

Congreso; 2015 International Conference on Sampling Theory and Applications; 2015

SampTA

Starting from the question of whether a Gabor space, that is, a space generated by a discrete set of time- frequency shifted copies of a single window function, contains additional time-frequency shifts of the window function, we establish a new Balian-Low type result that, for example, extends the well established Amalgam Balian-Low Theorem in the one dimensional case. The Gabor spaces considered are generated by symplectic lattices of rational density.