Time-frequency analysis on the adeles over the rationals |
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Authors: | Ulrik BR Enstad Mads S Jakobsen Franz Luef |
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Institution: | 1. University of Oslo, Department of Mathematics, Oslo, Norway;2. Norwegian University of Science and Technology, Department of Mathematical Sciences, Trondheim, Norway |
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Abstract: | 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. |
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