1 research outputs found
Time-frequency analysis on the adeles over the rationals
We show that the construction of Gabor frames in with
generators in and with respect to time-frequency
shifts from a rectangular lattice is
equivalent to the construction of certain Gabor frames for over the
adeles over the rationals and the group .
Furthermore, we detail the connection between the construction of Gabor frames
on the adeles and on with the construction of
certain Heisenberg modules.Comment: minor revisions, added more references, added a Balian-Low type
result in the form of Proposition 4.